Qrack  1.7
General classical-emulating-quantum development framework
Functions
Rotational gates:

NOTE: Dyadic operation angle sign is reversed from radian rotation operators and lacks a division by a factor of two. More...

Functions

virtual void Qrack::QEngineCPU::RT (real1 radians, bitLenInt qubitIndex)
 "Phase shift gate" - Rotates as e^(-i*/2) around |1> state More...
 
virtual void Qrack::QEngineCPU::RX (real1 radians, bitLenInt qubitIndex)
 x axis rotation gate - Rotates as e^(-i*/2) around Pauli x axis More...
 
virtual void Qrack::QEngineCPU::RY (real1 radians, bitLenInt qubitIndex)
 y axis rotation gate - Rotates as e^(-i*/2) around Pauli y axis More...
 
virtual void Qrack::QEngineCPU::RZ (real1 radians, bitLenInt qubitIndex)
 z axis rotation gate - Rotates as e^(-i*/2) around Pauli z axis More...
 
virtual void Qrack::QEngineCPU::Exp (real1 radians, bitLenInt qubitIndex)
 Exponentiate identity operator. More...
 
virtual void Qrack::QEngineCPU::ExpX (real1 radians, bitLenInt qubitIndex)
 Exponentiate Pauli X operator. More...
 
virtual void Qrack::QEngineCPU::ExpY (real1 radians, bitLenInt qubitIndex)
 Exponentiate Pauli Y operator. More...
 
virtual void Qrack::QEngineCPU::ExpZ (real1 radians, bitLenInt qubitIndex)
 Exponentiate Pauli Z operator. More...
 
virtual void Qrack::QEngineCPU::CRX (real1 radians, bitLenInt control, bitLenInt target)
 Controlled x axis rotation - if control bit is true, rotates as e^(-i*/2) around Pauli x axis. More...
 
virtual void Qrack::QEngineCPU::CRY (real1 radians, bitLenInt control, bitLenInt target)
 Controlled y axis rotation - if control bit is true, rotates as e^(-i*) around Pauli y axis. More...
 
virtual void Qrack::QEngineCPU::CRZ (real1 radians, bitLenInt control, bitLenInt target)
 Controlled z axis rotation - if control bit is true, rotates as e^(-i*) around Pauli z axis. More...
 
virtual void Qrack::QEngineCPU::CRT (real1 radians, bitLenInt control, bitLenInt target)
 Controlled "phase shift gate" - if control bit is true, rotates target bit as e^(-i*/2) around |1> state. More...
 
virtual void Qrack::QInterface::RT (real1 radians, bitLenInt qubitIndex)=0
 Phase shift gate. More...
 
virtual void Qrack::QInterface::RTDyad (int numerator, int denomPower, bitLenInt qubitIndex)
 Dyadic fraction phase shift gate. More...
 
virtual void Qrack::QInterface::RX (real1 radians, bitLenInt qubitIndex)=0
 X axis rotation gate. More...
 
virtual void Qrack::QInterface::RXDyad (int numerator, int denomPower, bitLenInt qubitIndex)
 Dyadic fraction X axis rotation gate. More...
 
virtual void Qrack::QInterface::Exp (real1 radians, bitLenInt qubitIndex)=0
 (Identity) Exponentiation gate More...
 
virtual void Qrack::QInterface::ExpDyad (int numerator, int denomPower, bitLenInt qubitIndex)
 Dyadic fraction (identity) exponentiation gate. More...
 
virtual void Qrack::QInterface::ExpX (real1 radians, bitLenInt qubitIndex)=0
 Pauli X exponentiation gate. More...
 
virtual void Qrack::QInterface::ExpXDyad (int numerator, int denomPower, bitLenInt qubitIndex)
 Dyadic fraction Pauli X exponentiation gate. More...
 
virtual void Qrack::QInterface::ExpY (real1 radians, bitLenInt qubitIndex)=0
 Pauli Y exponentiation gate. More...
 
virtual void Qrack::QInterface::ExpYDyad (int numerator, int denomPower, bitLenInt qubitIndex)
 Dyadic fraction Pauli Y exponentiation gate. More...
 
virtual void Qrack::QInterface::ExpZ (real1 radians, bitLenInt qubitIndex)=0
 Pauli Z exponentiation gate. More...
 
virtual void Qrack::QInterface::ExpZDyad (int numerator, int denomPower, bitLenInt qubitIndex)
 Dyadic fraction Pauli Z exponentiation gate. More...
 
virtual void Qrack::QInterface::CRX (real1 radians, bitLenInt control, bitLenInt target)=0
 Controlled X axis rotation gate. More...
 
virtual void Qrack::QInterface::CRXDyad (int numerator, int denomPower, bitLenInt control, bitLenInt target)
 Controlled dyadic fraction X axis rotation gate. More...
 
virtual void Qrack::QInterface::RY (real1 radians, bitLenInt qubitIndex)=0
 Y axis rotation gate. More...
 
virtual void Qrack::QInterface::RYDyad (int numerator, int denomPower, bitLenInt qubitIndex)
 Dyadic fraction Y axis rotation gate. More...
 
virtual void Qrack::QInterface::CRY (real1 radians, bitLenInt control, bitLenInt target)=0
 Controlled Y axis rotation gate. More...
 
virtual void Qrack::QInterface::CRYDyad (int numerator, int denomPower, bitLenInt control, bitLenInt target)
 Controlled dyadic fraction y axis rotation gate. More...
 
virtual void Qrack::QInterface::RZ (real1 radians, bitLenInt qubitIndex)=0
 Z axis rotation gate. More...
 
virtual void Qrack::QInterface::RZDyad (int numerator, int denomPower, bitLenInt qubitIndex)
 Dyadic fraction Z axis rotation gate. More...
 
virtual void Qrack::QInterface::CRZ (real1 radians, bitLenInt control, bitLenInt target)=0
 Controlled Z axis rotation gate. More...
 
virtual void Qrack::QInterface::CRZDyad (int numerator, int denomPower, bitLenInt control, bitLenInt target)
 Controlled dyadic fraction Z axis rotation gate. More...
 
virtual void Qrack::QInterface::CRT (real1 radians, bitLenInt control, bitLenInt target)=0
 Controlled "phase shift gate". More...
 
virtual void Qrack::QInterface::CRTDyad (int numerator, int denomPower, bitLenInt control, bitLenInt target)
 Controlled dyadic fraction "phase shift gate". More...
 
virtual void Qrack::QUnit::RT (real1 radians, bitLenInt qubit)
 Phase shift gate. More...
 
virtual void Qrack::QUnit::RX (real1 radians, bitLenInt qubit)
 X axis rotation gate. More...
 
virtual void Qrack::QUnit::RY (real1 radians, bitLenInt qubit)
 Y axis rotation gate. More...
 
virtual void Qrack::QUnit::RZ (real1 radians, bitLenInt qubit)
 Z axis rotation gate. More...
 
virtual void Qrack::QUnit::Exp (real1 radians, bitLenInt qubit)
 (Identity) Exponentiation gate More...
 
virtual void Qrack::QUnit::ExpX (real1 radians, bitLenInt qubit)
 Pauli X exponentiation gate. More...
 
virtual void Qrack::QUnit::ExpY (real1 radians, bitLenInt qubit)
 Pauli Y exponentiation gate. More...
 
virtual void Qrack::QUnit::ExpZ (real1 radians, bitLenInt qubit)
 Pauli Z exponentiation gate. More...
 
virtual void Qrack::QUnit::CRX (real1 radians, bitLenInt control, bitLenInt target)
 Controlled X axis rotation gate. More...
 
virtual void Qrack::QUnit::CRY (real1 radians, bitLenInt control, bitLenInt target)
 Controlled Y axis rotation gate. More...
 
virtual void Qrack::QUnit::CRZ (real1 radians, bitLenInt control, bitLenInt target)
 Controlled Z axis rotation gate. More...
 
virtual void Qrack::QUnit::CRT (real1 radians, bitLenInt control, bitLenInt target)
 Controlled "phase shift gate". More...
 

Detailed Description

NOTE: Dyadic operation angle sign is reversed from radian rotation operators and lacks a division by a factor of two.

Function Documentation

void Qrack::QEngineCPU::CRT ( real1  radians,
bitLenInt  control,
bitLenInt  target 
)
virtual

Controlled "phase shift gate" - if control bit is true, rotates target bit as e^(-i*/2) around |1> state.

Implements Qrack::QInterface.

void Qrack::QUnit::CRT ( real1  radians,
bitLenInt  control,
bitLenInt  target 
)
virtual

Controlled "phase shift gate".

If control bit is set to 1, rotates target bit as $ e^{-i*\theta/2} $ around |1> state.

Implements Qrack::QInterface.

virtual void Qrack::QInterface::CRT ( real1  radians,
bitLenInt  control,
bitLenInt  target 
)
pure virtual

Controlled "phase shift gate".

If control bit is set to 1, rotates target bit as $ e^{-i*\theta/2} $ around |1> state.

Implemented in Qrack::QEngineOCLMulti, Qrack::QUnit, and Qrack::QEngineCPU.

void Qrack::QInterface::CRTDyad ( int  numerator,
int  denomPower,
bitLenInt  control,
bitLenInt  target 
)
virtual

Controlled dyadic fraction "phase shift gate".

Controlled dyadic "phase shift gate" - if control bit is true, rotates target bit as e^(i*(M_PI * numerator) / 2^denomPower) around |1> state.

If control bit is set to 1, rotates target bit as $ e^{i*{\pi * numerator} / 2^denomPower} $ around |1> state.

void Qrack::QEngineCPU::CRX ( real1  radians,
bitLenInt  control,
bitLenInt  target 
)
virtual

Controlled x axis rotation - if control bit is true, rotates as e^(-i*/2) around Pauli x axis.

Implements Qrack::QInterface.

void Qrack::QUnit::CRX ( real1  radians,
bitLenInt  control,
bitLenInt  target 
)
virtual

Controlled X axis rotation gate.

If "control" is 1, rotates as $ e^{-i*\theta/2} $ on Pauli x axis.

Implements Qrack::QInterface.

virtual void Qrack::QInterface::CRX ( real1  radians,
bitLenInt  control,
bitLenInt  target 
)
pure virtual

Controlled X axis rotation gate.

If "control" is 1, rotates as $ e^{-i*\theta/2} $ on Pauli x axis.

Implemented in Qrack::QEngineOCLMulti, Qrack::QUnit, and Qrack::QEngineCPU.

void Qrack::QInterface::CRXDyad ( int  numerator,
int  denomPower,
bitLenInt  control,
bitLenInt  target 
)
virtual

Controlled dyadic fraction X axis rotation gate.

Controlled dyadic fraction x axis rotation gate - Rotates as e^(i*(M_PI * numerator) / 2^denomPower) around Pauli x axis.

If "control" is 1, rotates as $ e^{i*{\pi * numerator} / 2^denomPower} $ around Pauli x axis.

NOTE THAT DYADIC OPERATION ANGLE SIGN IS REVERSED FROM RADIAN ROTATION OPERATORS.

void Qrack::QEngineCPU::CRY ( real1  radians,
bitLenInt  control,
bitLenInt  target 
)
virtual

Controlled y axis rotation - if control bit is true, rotates as e^(-i*) around Pauli y axis.

Implements Qrack::QInterface.

void Qrack::QUnit::CRY ( real1  radians,
bitLenInt  control,
bitLenInt  target 
)
virtual

Controlled Y axis rotation gate.

If "control" is set to 1, rotates as $ e^{-i*\theta/2} $ around Pauli Y axis.

Implements Qrack::QInterface.

virtual void Qrack::QInterface::CRY ( real1  radians,
bitLenInt  control,
bitLenInt  target 
)
pure virtual

Controlled Y axis rotation gate.

If "control" is set to 1, rotates as $ e^{-i*\theta/2} $ around Pauli Y axis.

Implemented in Qrack::QEngineOCLMulti, Qrack::QUnit, and Qrack::QEngineCPU.

void Qrack::QInterface::CRYDyad ( int  numerator,
int  denomPower,
bitLenInt  control,
bitLenInt  target 
)
virtual

Controlled dyadic fraction y axis rotation gate.

Controlled dyadic fraction y axis rotation gate - Rotates as e^(i*(M_PI * numerator) / 2^denomPower) around Pauli y axis.

If "control" is set to 1, rotates as $ e^{i*{\pi * numerator} / 2^denomPower} $ around Pauli Y axis.

NOTE THAT DYADIC OPERATION ANGLE SIGN IS REVERSED FROM RADIAN ROTATION OPERATORS.

void Qrack::QEngineCPU::CRZ ( real1  radians,
bitLenInt  control,
bitLenInt  target 
)
virtual

Controlled z axis rotation - if control bit is true, rotates as e^(-i*) around Pauli z axis.

Implements Qrack::QInterface.

void Qrack::QUnit::CRZ ( real1  radians,
bitLenInt  control,
bitLenInt  target 
)
virtual

Controlled Z axis rotation gate.

If "control" is set to 1, rotates as $ e^{-i*\theta/2} $ around Pauli Zaxis.

Implements Qrack::QInterface.

virtual void Qrack::QInterface::CRZ ( real1  radians,
bitLenInt  control,
bitLenInt  target 
)
pure virtual

Controlled Z axis rotation gate.

If "control" is set to 1, rotates as $ e^{-i*\theta/2} $ around Pauli Zaxis.

Implemented in Qrack::QEngineOCLMulti, Qrack::QUnit, and Qrack::QEngineCPU.

void Qrack::QInterface::CRZDyad ( int  numerator,
int  denomPower,
bitLenInt  control,
bitLenInt  target 
)
virtual

Controlled dyadic fraction Z axis rotation gate.

Controlled dyadic fraction z axis rotation gate - Rotates as e^(i*(M_PI * numerator) / 2^denomPower) around Pauli z axis.

If "control" is set to 1, rotates as $ e^{i*{\pi * numerator} / 2^denomPower} $ around Pauli Z axis.

NOTE THAT DYADIC OPERATION ANGLE SIGN IS REVERSED FROM RADIAN ROTATION OPERATORS.

void Qrack::QEngineCPU::Exp ( real1  radians,
bitLenInt  qubitIndex 
)
virtual

Exponentiate identity operator.

Implements Qrack::QInterface.

void Qrack::QUnit::Exp ( real1  radians,
bitLenInt  qubitIndex 
)
virtual

(Identity) Exponentiation gate

Applies $ e^{-i*\theta*I} $, exponentiation of the identity operator

Implements Qrack::QInterface.

virtual void Qrack::QInterface::Exp ( real1  radians,
bitLenInt  qubitIndex 
)
pure virtual

(Identity) Exponentiation gate

Applies $ e^{-i*\theta*I} $, exponentiation of the identity operator

Implemented in Qrack::QEngineOCLMulti, Qrack::QUnit, and Qrack::QEngineCPU.

void Qrack::QInterface::ExpDyad ( int  numerator,
int  denomPower,
bitLenInt  qubit 
)
virtual

Dyadic fraction (identity) exponentiation gate.

Dyadic fraction (identity) exponentiation gate - Applies $ e^{-i * \pi * numerator * I / 2^denomPower} $, exponentiation of the identity operator.

Applies $ e^{-i * \pi * numerator * I / 2^denomPower} $, exponentiation of the identity operator

NOTE THAT DYADIC OPERATION ANGLE SIGN IS REVERSED FROM RADIAN ROTATION OPERATORS AND LACKS DIVISION BY A FACTOR OF TWO.

void Qrack::QEngineCPU::ExpX ( real1  radians,
bitLenInt  qubitIndex 
)
virtual

Exponentiate Pauli X operator.

Implements Qrack::QInterface.

void Qrack::QUnit::ExpX ( real1  radians,
bitLenInt  qubitIndex 
)
virtual

Pauli X exponentiation gate.

Applies $ e^{-i*\theta*\sigma_x} $, exponentiation of the Pauli X operator

Implements Qrack::QInterface.

virtual void Qrack::QInterface::ExpX ( real1  radians,
bitLenInt  qubitIndex 
)
pure virtual

Pauli X exponentiation gate.

Applies $ e^{-i*\theta*\sigma_x} $, exponentiation of the Pauli X operator

Implemented in Qrack::QEngineOCLMulti, Qrack::QUnit, and Qrack::QEngineCPU.

void Qrack::QInterface::ExpXDyad ( int  numerator,
int  denomPower,
bitLenInt  qubit 
)
virtual

Dyadic fraction Pauli X exponentiation gate.

Dyadic fraction Pauli X exponentiation gate - Applies $ e^{-i * \pi * numerator *\sigma_x / 2^denomPower} $, exponentiation of the Pauli X operator.

Applies $ e^{-i * \pi * numerator * \sigma_x / 2^denomPower} $, exponentiation of the Pauli X operator

NOTE THAT DYADIC OPERATION ANGLE SIGN IS REVERSED FROM RADIAN ROTATION OPERATORS AND LACKS DIVISION BY A FACTOR OF TWO.

void Qrack::QEngineCPU::ExpY ( real1  radians,
bitLenInt  qubitIndex 
)
virtual

Exponentiate Pauli Y operator.

Implements Qrack::QInterface.

void Qrack::QUnit::ExpY ( real1  radians,
bitLenInt  qubitIndex 
)
virtual

Pauli Y exponentiation gate.

Applies $ e^{-i*\theta*\sigma_y} $, exponentiation of the Pauli Y operator

Implements Qrack::QInterface.

virtual void Qrack::QInterface::ExpY ( real1  radians,
bitLenInt  qubitIndex 
)
pure virtual

Pauli Y exponentiation gate.

Applies $ e^{-i*\theta*\sigma_y} $, exponentiation of the Pauli Y operator

Implemented in Qrack::QEngineOCLMulti, Qrack::QUnit, and Qrack::QEngineCPU.

void Qrack::QInterface::ExpYDyad ( int  numerator,
int  denomPower,
bitLenInt  qubit 
)
virtual

Dyadic fraction Pauli Y exponentiation gate.

Dyadic fraction Pauli Y exponentiation gate - Applies $ e^{-i * \pi * numerator *\sigma_y / 2^denomPower} $, exponentiation of the Pauli Y operator.

Applies $ e^{-i * \pi * numerator * \sigma_y / 2^denomPower} $, exponentiation of the Pauli Y operator

NOTE THAT DYADIC OPERATION ANGLE SIGN IS REVERSED FROM RADIAN ROTATION OPERATORS AND LACKS DIVISION BY A FACTOR OF TWO.

void Qrack::QEngineCPU::ExpZ ( real1  radians,
bitLenInt  qubitIndex 
)
virtual

Exponentiate Pauli Z operator.

Implements Qrack::QInterface.

void Qrack::QUnit::ExpZ ( real1  radians,
bitLenInt  qubitIndex 
)
virtual

Pauli Z exponentiation gate.

Applies $ e^{-i*\theta*\sigma_z} $, exponentiation of the Pauli Z operator

Implements Qrack::QInterface.

virtual void Qrack::QInterface::ExpZ ( real1  radians,
bitLenInt  qubitIndex 
)
pure virtual

Pauli Z exponentiation gate.

Applies $ e^{-i*\theta*\sigma_z} $, exponentiation of the Pauli Z operator

Implemented in Qrack::QEngineOCLMulti, Qrack::QUnit, and Qrack::QEngineCPU.

void Qrack::QInterface::ExpZDyad ( int  numerator,
int  denomPower,
bitLenInt  qubit 
)
virtual

Dyadic fraction Pauli Z exponentiation gate.

Dyadic fraction Pauli Z exponentiation gate - Applies $ e^{-i * \pi * numerator *\sigma_z / 2^denomPower} $, exponentiation of the Pauli Z operator.

Applies $ e^{-i * \pi * numerator * \sigma_z / 2^denomPower} $, exponentiation of the Pauli Z operator

NOTE THAT DYADIC OPERATION ANGLE SIGN IS REVERSED FROM RADIAN ROTATION OPERATORS AND LACKS DIVISION BY A FACTOR OF TWO.

void Qrack::QEngineCPU::RT ( real1  radians,
bitLenInt  qubitIndex 
)
virtual

"Phase shift gate" - Rotates as e^(-i*/2) around |1> state

Implements Qrack::QInterface.

void Qrack::QUnit::RT ( real1  radians,
bitLenInt  qubitIndex 
)
virtual

Phase shift gate.

Rotates as $ e^{-i*\theta/2} $ around |1> state

Implements Qrack::QInterface.

virtual void Qrack::QInterface::RT ( real1  radians,
bitLenInt  qubitIndex 
)
pure virtual

Phase shift gate.

Rotates as $ e^{-i*\theta/2} $ around |1> state

Implemented in Qrack::QEngineOCLMulti, Qrack::QUnit, and Qrack::QEngineCPU.

void Qrack::QInterface::RTDyad ( int  numerator,
int  denomPower,
bitLenInt  qubit 
)
virtual

Dyadic fraction phase shift gate.

Dyadic fraction "phase shift gate" - Rotates as e^(i*(M_PI * numerator) / 2^denomPower) around |1> state.

Rotates as $ e^{i*{\pi * numerator} / 2^denomPower} $ around |1> state.

NOTE THAT * DYADIC OPERATION ANGLE SIGN IS REVERSED FROM RADIAN ROTATION OPERATORS AND LACKS DIVISION BY A FACTOR OF TWO.

void Qrack::QEngineCPU::RX ( real1  radians,
bitLenInt  qubitIndex 
)
virtual

x axis rotation gate - Rotates as e^(-i*/2) around Pauli x axis

Implements Qrack::QInterface.

void Qrack::QUnit::RX ( real1  radians,
bitLenInt  qubitIndex 
)
virtual

X axis rotation gate.

Rotates as $ e^{-i*\theta/2} $ around Pauli X axis

Implements Qrack::QInterface.

virtual void Qrack::QInterface::RX ( real1  radians,
bitLenInt  qubitIndex 
)
pure virtual

X axis rotation gate.

Rotates as $ e^{-i*\theta/2} $ around Pauli X axis

Implemented in Qrack::QEngineOCLMulti, Qrack::QUnit, and Qrack::QEngineCPU.

void Qrack::QInterface::RXDyad ( int  numerator,
int  denomPower,
bitLenInt  qubit 
)
virtual

Dyadic fraction X axis rotation gate.

Dyadic fraction x axis rotation gate - Rotates as e^(i*(M_PI * numerator) / 2^denomPower) around Pauli x axis.

Rotates $ e^{i*{\pi * numerator} / 2^denomPower} $ on Pauli x axis.

NOTE THAT DYADIC OPERATION ANGLE SIGN IS REVERSED FROM RADIAN ROTATION OPERATORS AND LACKS DIVISION BY A FACTOR OF TWO.

void Qrack::QEngineCPU::RY ( real1  radians,
bitLenInt  qubitIndex 
)
virtual

y axis rotation gate - Rotates as e^(-i*/2) around Pauli y axis

Implements Qrack::QInterface.

void Qrack::QUnit::RY ( real1  radians,
bitLenInt  qubitIndex 
)
virtual

Y axis rotation gate.

Rotates as $ e^{-i*\theta/2} $ around Pauli y axis.

Implements Qrack::QInterface.

virtual void Qrack::QInterface::RY ( real1  radians,
bitLenInt  qubitIndex 
)
pure virtual

Y axis rotation gate.

Rotates as $ e^{-i*\theta/2} $ around Pauli y axis.

Implemented in Qrack::QEngineOCLMulti, Qrack::QUnit, and Qrack::QEngineCPU.

void Qrack::QInterface::RYDyad ( int  numerator,
int  denomPower,
bitLenInt  qubit 
)
virtual

Dyadic fraction Y axis rotation gate.

Dyadic fraction y axis rotation gate - Rotates as e^(i*(M_PI * numerator) / 2^denomPower) around Pauli y axis.

Rotates as $ e^{i*{\pi * numerator} / 2^denomPower} $ around Pauli Y axis.

NOTE THAT DYADIC OPERATION ANGLE SIGN IS REVERSED FROM RADIAN ROTATION OPERATORS AND LACKS DIVISION BY A FACTOR OF TWO.

void Qrack::QEngineCPU::RZ ( real1  radians,
bitLenInt  qubitIndex 
)
virtual

z axis rotation gate - Rotates as e^(-i*/2) around Pauli z axis

Implements Qrack::QInterface.

void Qrack::QUnit::RZ ( real1  radians,
bitLenInt  qubitIndex 
)
virtual

Z axis rotation gate.

Rotates as $ e^{-i*\theta/2} $ around Pauli Z axis.

Implements Qrack::QInterface.

virtual void Qrack::QInterface::RZ ( real1  radians,
bitLenInt  qubitIndex 
)
pure virtual

Z axis rotation gate.

Rotates as $ e^{-i*\theta/2} $ around Pauli Z axis.

Implemented in Qrack::QEngineOCLMulti, Qrack::QUnit, and Qrack::QEngineCPU.

void Qrack::QInterface::RZDyad ( int  numerator,
int  denomPower,
bitLenInt  qubit 
)
virtual

Dyadic fraction Z axis rotation gate.

Dyadic fraction y axis rotation gate - Rotates as e^(i*(M_PI * numerator) / 2^denomPower) around Pauli y axis.

Rotates as $ e^{i*{\pi * numerator} / 2^denomPower} $ around Pauli Z axis.

NOTE THAT DYADIC OPERATION ANGLE SIGN IS REVERSED FROM RADIAN ROTATION OPERATORS AND LACKS DIVISION BY A FACTOR OF TWO.

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