BlochVector

@qbead/bloch-sphere

---

@qbead/bloch-sphere / BlochVector

Class: BlochVector

Defined in: src/math/bloch-vector.ts:25

A class representing a Bloch vector

Angle theta is the angle between the Bloch vector and the z-axis Angle phi is the "timezone" angle, the angle from the x-axis in the xy-plane

This class extends the Vector3 class from three.js and provides additional functionality.

Example

const blochVector = BlochVector.from(1, 0, 0)
const blochVector2 = BlochVector.from([0, 1, 0])
const blochVector3 = BlochVector.fromAngles(0.5 * Math.PI, 1.5 * Math.PI)
const blochVector4 = BlochVector.MINUS_I
const blochVector5 = BlochVector.random()

Extends

• Vector3

Constructors

Constructor

new BlochVector(x?, y?, z?): BlochVector

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:32

Parameters

Parameter	Type
x?	number
y?	number
z?	number

Returns

BlochVector

Inherited from

Vector3.constructor

Properties

Property	Modifier	Type	Description	Inherited from	Defined in
isVector3	readonly	true	-	Vector3.isVector3	node_modules/@types/three/src/math/Vector3.d.ts:48
x	public	number	Default 0	Vector3.x	node_modules/@types/three/src/math/Vector3.d.ts:37
y	public	number	Default 0	Vector3.y	node_modules/@types/three/src/math/Vector3.d.ts:42
z	public	number	Default 0	Vector3.z	node_modules/@types/three/src/math/Vector3.d.ts:47

Accessors

amplitude

Get Signature

get amplitude(): number

Defined in: src/math/bloch-vector.ts:128

The amplitude of the Bloch vector

Returns

number

---

phi

Get Signature

get phi(): number

Defined in: src/math/bloch-vector.ts:123

The azimuthal xy-plane angle. The angle between the projection of the BlochVector on the xy-plane and the x-axis

Returns

number

---

rho

Get Signature

get rho(): Complex[][]

Defined in: src/math/bloch-vector.ts:133

The density matrix representation of the Bloch vector

Returns

Complex[][]

---

theta

Get Signature

get theta(): number

Defined in: src/math/bloch-vector.ts:117

The polar angle. The angle between the BlochVector and the z-axis

Returns

number

---

I

Get Signature

get static I(): BlochVector

Defined in: src/math/bloch-vector.ts:54

A bloch vector representing the imaginary state (|i>) or (|0> + i|1>)/sqrt(2)

Returns

BlochVector

---

MINUS

Get Signature

get static MINUS(): BlochVector

Defined in: src/math/bloch-vector.ts:48

A bloch vector representing the minus state (|->) or (|0> - |1>)/sqrt(2)

Returns

BlochVector

---

MINUS_I

Get Signature

get static MINUS_I(): BlochVector

Defined in: src/math/bloch-vector.ts:60

A bloch vector representing the minus imaginary state (|-i>) or (|0> - i|1>)/sqrt(2)

Returns

BlochVector

---

ONE

Get Signature

get static ONE(): BlochVector

Defined in: src/math/bloch-vector.ts:35

A bloch vector representing the one state

Returns

BlochVector

---

PLUS

Get Signature

get static PLUS(): BlochVector

Defined in: src/math/bloch-vector.ts:42

A bloch vector representing the plus state (|+>) or (|0> + |1>)/sqrt(2)

Returns

BlochVector

---

ZERO

Get Signature

get static ZERO(): BlochVector

Defined in: src/math/bloch-vector.ts:29

A bloch vector representing the zero state

Returns

BlochVector

Methods

[iterator]()

[iterator](): Iterator<number>

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:300

Iterating through a Vector3 instance will yield its components (x, y, z) in the corresponding order.

Returns

Iterator<number>

Inherited from

Vector3.[iterator]

---

add()

add(v): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:92

Adds v to this vector.

Parameters

Parameter	Type
v	Vector3Like

Returns

this

Inherited from

Vector3.add

---

addScalar()

addScalar(s): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:94

Parameters

Parameter	Type
s	number

Returns

this

Inherited from

Vector3.addScalar

---

addScaledVector()

addScaledVector(v, s): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:101

Parameters

Parameter	Type
v	Vector3
s	number

Returns

this

Inherited from

Vector3.addScaledVector

---

addVectors()

addVectors(a, b): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:99

Sets this vector to a + b.

Parameters

Parameter	Type
a	Vector3Like
b	Vector3Like

Returns

this

Inherited from

Vector3.addVectors

---

angles()

angles(): [number, number]

Defined in: src/math/bloch-vector.ts:175

Get both angles of the Bloch vector as an array [theta, phi]

Returns

[number, number]

---

angleTo()

angleTo(v): number

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:220

Parameters

Parameter	Type
v	Vector3

Returns

number

Inherited from

Vector3.angleTo

---

applyAxisAngle()

applyAxisAngle(axis, angle): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:126

Parameters

Parameter	Type
axis	Vector3
angle	number

Returns

this

Inherited from

Vector3.applyAxisAngle

---

applyEuler()

applyEuler(euler): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:124

Parameters

Parameter	Type
euler	Euler

Returns

this

Inherited from

Vector3.applyEuler

---

applyMatrix3()

applyMatrix3(m): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:128

Parameters

Parameter	Type
m	Matrix3

Returns

this

Inherited from

Vector3.applyMatrix3

---

applyMatrix4()

applyMatrix4(m): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:132

Parameters

Parameter	Type
m	Matrix4

Returns

this

Inherited from

Vector3.applyMatrix4

---

applyNormalMatrix()

applyNormalMatrix(m): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:130

Parameters

Parameter	Type
m	Matrix3

Returns

this

Inherited from

Vector3.applyNormalMatrix

---

applyOperator()

applyOperator(op): BlochVector

Defined in: src/math/bloch-vector.ts:168

Apply an operator to the Bloch vector returning a new Bloch vector

Parameters

Parameter	Type	Description
op	Operator	The operator to apply

Returns

BlochVector

The new Bloch vector

---

applyQuaternion()

applyQuaternion(q): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:134

Parameters

Parameter	Type
q	QuaternionLike

Returns

this

Inherited from

Vector3.applyQuaternion

---

ceil()

ceil(): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:162

Returns

this

Inherited from

Vector3.ceil

---

clamp()

clamp(min, max): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:154

Parameters

Parameter	Type
min	Vector3Like
max	Vector3Like

Returns

this

Inherited from

Vector3.clamp

---

clampLength()

clampLength(min, max): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:158

Parameters

Parameter	Type
min	number
max	number

Returns

this

Inherited from

Vector3.clampLength

---

clampScalar()

clampScalar(min, max): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:156

Parameters

Parameter	Type
min	number
max	number

Returns

this

Inherited from

Vector3.clampScalar

---

clone()

clone(): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:82

Clones this vector.

Returns

this

Inherited from

Vector3.clone

---

copy()

copy(v): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:87

Copies value of v to this vector.

Parameters

Parameter	Type
v	Vector3Like

Returns

this

Inherited from

Vector3.copy

---

cross()

cross(a): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:211

Sets this vector to cross product of itself and v.

Parameters

Parameter	Type
a	Vector3Like

Returns

this

Inherited from

Vector3.cross

---

crossVectors()

crossVectors(a, b): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:216

Sets this vector to cross product of a and b.

Parameters

Parameter	Type
a	Vector3Like
b	Vector3Like

Returns

this

Inherited from

Vector3.crossVectors

---

densityMatrix()

densityMatrix(): Complex[][]

Defined in: src/math/bloch-vector.ts:138

The density matrix representation of the Bloch vector

Returns

Complex[][]

---

distanceTo()

distanceTo(v): number

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:225

Computes distance of this vector to v.

Parameters

Parameter	Type
v	Vector3Like

Returns

number

Inherited from

Vector3.distanceTo

---

distanceToSquared()

distanceToSquared(v): number

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:230

Computes squared distance of this vector to v.

Parameters

Parameter	Type
v	Vector3Like

Returns

number

Inherited from

Vector3.distanceToSquared

---

divide()

divide(v): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:142

Parameters

Parameter	Type
v	Vector3Like

Returns

this

Inherited from

Vector3.divide

---

divideScalar()

divideScalar(s): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:148

Divides this vector by scalar s. Set vector to ( 0, 0, 0 ) if s == 0.

Parameters

Parameter	Type
s	number

Returns

this

Inherited from

Vector3.divideScalar

---

dot()

dot(v): number

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:176

Computes dot product of this vector and v.

Parameters

Parameter	Type
v	Vector3Like

Returns

number

Inherited from

Vector3.dot

---

equals()

equals(v): boolean

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:262

Checks for strict equality of this vector and v.

Parameters

Parameter	Type
v	Vector3Like

Returns

boolean

Inherited from

Vector3.equals

---

floor()

floor(): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:160

Returns

this

Inherited from

Vector3.floor

---

fromArray()

fromArray(array, offset?): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:269

Sets this vector's x, y and z value from the provided array or array-like.

Parameters

Parameter	Type	Description
array	number[] | ArrayLike<number>	the source array or array-like.
offset?	number	(optional) offset into the array. Default is 0.

Returns

this

Inherited from

Vector3.fromArray

---

fromBufferAttribute()

fromBufferAttribute(attribute, index): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:288

Parameters

Parameter	Type
attribute	BufferAttribute | InterleavedBufferAttribute
index	number

Returns

this

Inherited from

Vector3.fromBufferAttribute

---

getComponent()

getComponent(index): number

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:77

Parameters

Parameter	Type
index	number

Returns

number

Inherited from

Vector3.getComponent

---

length()

length(): number

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:186

Computes length of this vector.

Returns

number

Inherited from

Vector3.length

---

lengthSq()

lengthSq(): number

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:181

Computes squared length of this vector.

Returns

number

Inherited from

Vector3.lengthSq

---

lerp()

lerp(v, alpha): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:204

Parameters

Parameter	Type
v	Vector3Like
alpha	number

Returns

this

Inherited from

Vector3.lerp

---

lerpVectors()

lerpVectors(v1, v2, alpha): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:206

Parameters

Parameter	Type
v1	Vector3Like
v2	Vector3Like
alpha	number

Returns

this

Inherited from

Vector3.lerpVectors

---

manhattanDistanceTo()

manhattanDistanceTo(v): number

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:237

Computes the Manhattan length (distance) from this vector to the given vector v

see Taxicab Geometry

Parameters

Parameter	Type
v	Vector3Like

Returns

number

Inherited from

Vector3.manhattanDistanceTo

---

manhattanLength()

manhattanLength(): number

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:193

Computes the Manhattan length of this vector.

see Taxicab Geometry

Returns

number

Inherited from

Vector3.manhattanLength

---

max()

max(v): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:152

Parameters

Parameter	Type
v	Vector3Like

Returns

this

Inherited from

Vector3.max

---

min()

min(v): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:150

Parameters

Parameter	Type
v	Vector3Like

Returns

this

Inherited from

Vector3.min

---

multiply()

multiply(v): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:115

Parameters

Parameter	Type
v	Vector3Like

Returns

this

Inherited from

Vector3.multiply

---

multiplyScalar()

multiplyScalar(s): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:120

Multiplies this vector by scalar s.

Parameters

Parameter	Type
s	number

Returns

this

Inherited from

Vector3.multiplyScalar

---

multiplyVectors()

multiplyVectors(a, b): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:122

Parameters

Parameter	Type
a	Vector3Like
b	Vector3Like

Returns

this

Inherited from

Vector3.multiplyVectors

---

negate()

negate(): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:171

Inverts this vector.

Returns

this

Inherited from

Vector3.negate

---

normalize()

normalize(): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:198

Normalizes this vector.

Returns

this

Inherited from

Vector3.normalize

---

project()

project(camera): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:136

Parameters

Parameter	Type
camera	Camera

Returns

this

Inherited from

Vector3.project

---

projectOnPlane()

projectOnPlane(planeNormal): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:218

Parameters

Parameter	Type
planeNormal	Vector3

Returns

this

Inherited from

Vector3.projectOnPlane

---

projectOnVector()

projectOnVector(v): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:217

Parameters

Parameter	Type
v	Vector3

Returns

this

Inherited from

Vector3.projectOnVector

---

random()

random(): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:293

Sets this vector's x, y and z from Math.random

Returns

this

Inherited from

Vector3.random

---

randomDirection()

randomDirection(): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:295

Returns

this

Inherited from

Vector3.randomDirection

---

reflect()

reflect(vector): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:219

Parameters

Parameter	Type
vector	Vector3Like

Returns

this

Inherited from

Vector3.reflect

---

round()

round(): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:164

Returns

this

Inherited from

Vector3.round

---

roundToZero()

roundToZero(): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:166

Returns

this

Inherited from

Vector3.roundToZero

---

set()

set(x, y, z): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:53

Sets value of this vector.

Parameters

Parameter	Type
x	number
y	number
z	number

Returns

this

Inherited from

Vector3.set

---

setAngles()

setAngles(angles): BlochVector

Defined in: src/math/bloch-vector.ts:184

Set the Bloch vector from angles [theta, phi] (polar, azimuthal)

Parameters

Parameter	Type	Description
angles	[number, number]	The angles to set the Bloch vector to

Returns

BlochVector

---

setComponent()

setComponent(index, value): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:75

Parameters

Parameter	Type
index	number
value	number

Returns

this

Inherited from

Vector3.setComponent

---

setFromColor()

setFromColor(color): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:257

Sets this vector's x, y and z components from the r, g, and b components of the specified Color | color.

Parameters

Parameter	Type
color	RGB

Returns

this

Inherited from

Vector3.setFromColor

---

setFromCylindrical()

setFromCylindrical(s): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:241

Parameters

Parameter	Type
s	Cylindrical

Returns

this

Inherited from

Vector3.setFromCylindrical

---

setFromCylindricalCoords()

setFromCylindricalCoords(radius, theta, y): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:242

Parameters

Parameter	Type
radius	number
theta	number
y	number

Returns

this

Inherited from

Vector3.setFromCylindricalCoords

---

setFromEuler()

setFromEuler(e): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:251

Sets this vector's x, y and z components from the x, y, and z components of the specified Euler Euler Angle.

Parameters

Parameter	Type
e	Euler

Returns

this

Inherited from

Vector3.setFromEuler

---

setFromMatrix3Column()

setFromMatrix3Column(matrix, index): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:246

Parameters

Parameter	Type
matrix	Matrix3
index	number

Returns

this

Inherited from

Vector3.setFromMatrix3Column

---

setFromMatrixColumn()

setFromMatrixColumn(matrix, index): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:245

Parameters

Parameter	Type
matrix	Matrix4
index	number

Returns

this

Inherited from

Vector3.setFromMatrixColumn

---

setFromMatrixPosition()

setFromMatrixPosition(m): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:243

Parameters

Parameter	Type
m	Matrix4

Returns

this

Inherited from

Vector3.setFromMatrixPosition

---

setFromMatrixScale()

setFromMatrixScale(m): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:244

Parameters

Parameter	Type
m	Matrix4

Returns

this

Inherited from

Vector3.setFromMatrixScale

---

setFromSpherical()

setFromSpherical(s): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:239

Parameters

Parameter	Type
s	Spherical

Returns

this

Inherited from

Vector3.setFromSpherical

---

setFromSphericalCoords()

setFromSphericalCoords(r, phi, theta): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:240

Parameters

Parameter	Type
r	number
phi	number
theta	number

Returns

this

Inherited from

Vector3.setFromSphericalCoords

---

setLength()

setLength(l): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:203

Normalizes this vector and multiplies it by l.

Parameters

Parameter	Type
l	number

Returns

this

Inherited from

Vector3.setLength

---

setScalar()

setScalar(scalar): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:58

Sets all values of this vector.

Parameters

Parameter	Type
scalar	number

Returns

this

Inherited from

Vector3.setScalar

---

setX()

setX(x): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:63

Sets x value of this vector.

Parameters

Parameter	Type
x	number

Returns

this

Inherited from

Vector3.setX

---

setY()

setY(y): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:68

Sets y value of this vector.

Parameters

Parameter	Type
y	number

Returns

this

Inherited from

Vector3.setY

---

setZ()

setZ(z): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:73

Sets z value of this vector.

Parameters

Parameter	Type
z	number

Returns

this

Inherited from

Vector3.setZ

---

slerpTo()

slerpTo(other, t): BlochVector

Defined in: src/math/bloch-vector.ts:205

Spherical linear interpolation of this Bloch vector to another Bloch vector

Parameters

Parameter	Type	Description
other	BlochVector	The other Bloch vector to interpolate to
t	number	The interpolation factor (0 <= t <= 1)

Returns

BlochVector

The interpolated Bloch vector

---

sub()

sub(a): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:106

Subtracts v from this vector.

Parameters

Parameter	Type
a	Vector3Like

Returns

this

Inherited from

Vector3.sub

---

subScalar()

subScalar(s): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:108

Parameters

Parameter	Type
s	number

Returns

this

Inherited from

Vector3.subScalar

---

subVectors()

subVectors(a, b): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:113

Sets this vector to a - b.

Parameters

Parameter	Type
a	Vector3Like
b	Vector3Like

Returns

this

Inherited from

Vector3.subVectors

---

toArray()

Call Signature

toArray(array?, offset?): number[]

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:277

Returns an array [x, y, z], or copies x, y and z into the provided array.

Parameters

Parameter	Type	Description
array?	number[]	(optional) array to store the vector to. If this is not provided, a new array will be created.
offset?	number	(optional) optional offset into the array.

Returns

number[]

The created or provided array.

Inherited from

Vector3.toArray

Call Signature

toArray(array?, offset?): Vector3Tuple

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:278

Returns an array [x, y, z], or copies x, y and z into the provided array.

Parameters

Parameter	Type	Description
array?	Vector3Tuple	(optional) array to store the vector to. If this is not provided, a new array will be created.
offset?	0	(optional) optional offset into the array.

Returns

Vector3Tuple

The created or provided array.

Inherited from

Vector3.toArray

Call Signature

toArray(array, offset?): ArrayLike<number>

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:286

Copies x, y and z into the provided array-like.

Parameters

Parameter	Type	Description
array	ArrayLike<number>	array-like to store the vector to.
offset?	number	(optional) optional offset into the array-like.

Returns

ArrayLike<number>

The provided array-like.

Inherited from

Vector3.toArray

---

toString()

toString(): string

Defined in: src/math/bloch-vector.ts:194

Returns a string representation of an object.

Returns

string

---

transformDirection()

transformDirection(m): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:140

Parameters

Parameter	Type
m	Matrix4

Returns

this

Inherited from

Vector3.transformDirection

---

unproject()

unproject(camera): this

Defined in: node_modules/@types/three/src/math/Vector3.d.ts:138

Parameters

Parameter	Type
camera	Camera

Returns

this

Inherited from

Vector3.unproject

---

from()

Call Signature

static from(x, y, z): BlochVector

Defined in: src/math/bloch-vector.ts:88

Utility function to create a bloch vector in many ways

• BlochVector.from(x, y, z) creates a Bloch vector from x, y, z coordinates

• BlochVector.from([x, y, z]) creates a Bloch vector from an array of coordinates

• BlochVector.from(new Vector3(x, y, z)) creates a Bloch vector from a three.js Vector3

• BlochVector.from(new BlochVector(x, y, z)) creates a Bloch vector from another Bloch vector

Parameters

Parameter	Type
x	number
y	number
z	number

Returns

BlochVector

Call Signature

static from(y): BlochVector

Defined in: src/math/bloch-vector.ts:89

Utility function to create a bloch vector in many ways

• BlochVector.from(x, y, z) creates a Bloch vector from x, y, z coordinates

• BlochVector.from([x, y, z]) creates a Bloch vector from an array of coordinates

• BlochVector.from(new Vector3(x, y, z)) creates a Bloch vector from a three.js Vector3

• BlochVector.from(new BlochVector(x, y, z)) creates a Bloch vector from another Bloch vector

Parameters

Parameter	Type
y	Vector3

Returns

BlochVector

Call Signature

static from(array): BlochVector

Defined in: src/math/bloch-vector.ts:90

Utility function to create a bloch vector in many ways

• BlochVector.from(x, y, z) creates a Bloch vector from x, y, z coordinates

• BlochVector.from([x, y, z]) creates a Bloch vector from an array of coordinates

• BlochVector.from(new Vector3(x, y, z)) creates a Bloch vector from a three.js Vector3

• BlochVector.from(new BlochVector(x, y, z)) creates a Bloch vector from another Bloch vector

Parameters

Parameter	Type
array	[number, number, number]

Returns

BlochVector

Call Signature

static from(q): BlochVector

Defined in: src/math/bloch-vector.ts:91

Utility function to create a bloch vector in many ways

• BlochVector.from(x, y, z) creates a Bloch vector from x, y, z coordinates

• BlochVector.from([x, y, z]) creates a Bloch vector from an array of coordinates

• BlochVector.from(new Vector3(x, y, z)) creates a Bloch vector from a three.js Vector3

• BlochVector.from(new BlochVector(x, y, z)) creates a Bloch vector from another Bloch vector

Parameters

Parameter	Type
q	BlochVector

Returns

BlochVector

---

fromAngles()

static fromAngles(theta, phi): BlochVector

Defined in: src/math/bloch-vector.ts:112

Create a Bloch vector from angles (theta, phi)

Parameters

Parameter	Type
theta	number
phi	number

Returns

BlochVector

---

fromDensityMatrix()

static fromDensityMatrix(rho): BlochVector

Defined in: src/math/bloch-vector.ts:155

Create a Bloch vector from a density matrix

Parameters

Parameter	Type	Description
rho	Complex[][]	The density matrix to create the Bloch vector from

Returns

BlochVector

---

random()

static random(): BlochVector

Defined in: src/math/bloch-vector.ts:67

Generate a random Bloch vector with magnitude 1

Returns

BlochVector

---

zero()

static zero(): BlochVector

Defined in: src/math/bloch-vector.ts:76

Create a zero state Bloch vector

Returns

BlochVector