Quantum.Qubits

• Module : Qubits
• Description : Definitions of |0>, |1>, |+> and |->
• Copyright : (c) Mihai Sebastian Ardelean, 2018
• License : BSD3
• Maintainer : [e-mail]
• Portability : POSIX

Documentation

newtype Qubit

Constructors

Qubit

Fields

• qubitState :: Matrix C

  Qubit constructor accepts a parameter of type Matrix C

Instances

Eq Qubit

Methods

(==) :: Qubit -> Qubit -> Bool

(/=) :: Qubit -> Qubit -> Bool

Show Qubit

Methods

showsPrec :: Int -> Qubit -> ShowS

show :: Qubit -> String

showList :: [Qubit] -> ShowS

QubitOperations Qubit

QubitOperations instance for Qubit

Methods

entangle :: Qubit -> Qubit -> Qubit

(|>) :: Qubit -> Gate -> Qubit

(|><|) :: Qubit -> Qubit -> Gate

(*) :: Qubit -> Complex Double -> Qubit

MeasurementPerformer Qubit

MeasurementPerformer instance for Qubit

Methods

measure :: Qubit -> Qubit

qZero :: Qubit

• qZero function is used to represent a 0 qubit |0>

>>> qZero
(2><1)
[ 1.0 :+ 0.0
, 0.0 :+ 0.0 ]

qOne :: Qubit

• qOne function is used to represent a 1 qubit |1>

>>> qOne
(2><1)
[ 0.0 :+ 0.0
, 1.0 :+ 0.0 ]

qPlus :: Qubit

• qPlus function is used to represent a + qubit |+>
• |+> can be also obtained by applying Hadamard Gate on |0>. See apply for more information

>>> qPlus
(2><1)
[ 0.7071067811865475 :+ 0.0
, 0.7071067811865475 :+ 0.0 ]

qMinus :: Qubit

• qMinus function is used to represent a - qubit |->
• Same as |+>, qubit |-> can be obtained by applying Hadamard Gate on |1>. See apply for more information

>>> qMinus
(2><1)
[       0.7071067811865475 :+ 0.0
, (-0.7071067811865475) :+ (-0.0) ]