DefaultGates

DefaultGates.GateSymbols

Here we store symbols for the gates available in DefaultGates, and generator functions for parameteric variants of these gates. This allows us to track the mappings as to be used by the gate type hierarchy and architecture.

Commonly used gates

The functions in this module allow use to create a QXZoo.GateOps.AGateCall struct for a given qubit target and symbol type.

Single Qubit Gates: default

QXZoo.DefaultGates.x — Method

x(q_target::Int)

Generate a single qubit Pauli-x GateCall (GateCall1) applied to the target qubit

Examples

julia> QXZoo.DefaultGates.x(0)
QXZoo.GateOps.GateCall1(QXZoo.GateOps.GateSymbol(:x, 0, false), 0)

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QXZoo.DefaultGates.y — Method

y(q_target::Int)

Generate a single qubit Pauli-y GateCall (GateCall1) applied to the target qubit

Examples

julia> QXZoo.DefaultGates.y(0)
QXZoo.GateOps.GateCall1(QXZoo.GateOps.GateSymbol(:y, 0, false), 0)

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QXZoo.DefaultGates.z — Method

z(q_target::Int)

Generate a single qubit Pauli-z GateCall (GateCall1) applied to the target qubit

Examples

julia> QXZoo.DefaultGates.z(0)
QXZoo.GateOps.GateCall1(QXZoo.GateOps.GateSymbol(:z, 0, false), 0)

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QXZoo.DefaultGates.h — Method

h(q_target::Int)

Generate a single qubit Hadamard GateCall (GateCall1) applied to the target qubit

Examples

julia> QXZoo.DefaultGates.h(0)
QXZoo.GateOps.GateCall1(QXZoo.GateOps.GateSymbol(:h, 0, false), 0)

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QXZoo.DefaultGates.s — Method

s(q_target::Int)

Generate a single qubit S GateCall (GateCall1) applied to the target qubit (s == sqrt(z))

Examples

julia> QXZoo.DefaultGates.s(0)
QXZoo.GateOps.GateCall1(QXZoo.GateOps.GateSymbol(:z, 1, false), 0)

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QXZoo.DefaultGates.t — Method

s(q_target::Int)

Generate a single qubit T GateCall (GateCall1) applied to the target qubit (t == sqrt(s))

Examples

julia> QXZoo.DefaultGates.t(0)
QXZoo.GateOps.GateCall1(QXZoo.GateOps.GateSymbol(:z, 2, false), 0)

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Single Qubit Gates: rotation and arbitrary

QXZoo.DefaultGates.u — Method

u(label::GateSymbol, q_target::Int)

Generate a single qubit arbitrary unitary GateCall (GateCall1) applied to the target qubit

Examples

julia> QXZoo.DefaultGates.u(QXZoo.GateOps.GateSymbol(:mygate), 1)
QXZoo.GateOps.GateCall1(QXZoo.GateOps.GateSymbol(:mygate, 0, false), 1)

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QXZoo.DefaultGates.r_x — Method

r_x(q_target::Int, theta::Number)

Generate a single qubit R_x(θ) GateCall (GateCall1) applied to the target qubit

Examples

julia> QXZoo.DefaultGates.r_x(3,pi/2)
QXZoo.GateOps.GateCall1(QXZoo.GateOps.GateSymbolP(:r_x, 0, false, 1.5707963267948966), 3)

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QXZoo.DefaultGates.r_y — Method

r_y(q_target::Int, theta::Number)

Generate a single qubit R_y(θ) GateCall (GateCall1) applied to the target qubit.

Examples

julia> QXZoo.DefaultGates.r_y(3,pi/2)
QXZoo.GateOps.GateCall1(QXZoo.GateOps.GateSymbolP(:r_y, 0, false, 1.5707963267948966), 3)

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QXZoo.DefaultGates.r_z — Method

r_z(q_target::Int, theta::Number)

Generate a single qubit R_z(θ) GateCall (GateCall1) applied to the target qubit

Examples

julia> QXZoo.DefaultGates.r_z(3,pi/2)
QXZoo.GateOps.GateCall1(QXZoo.GateOps.GateSymbolP(:r_z, 0, false, 1.5707963267948966), 3)

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QXZoo.DefaultGates.r_phase — Method

r_phase(q_target::Int, theta::Number)

Generate a single qubit phase shift GateCall ( diag(1, exp(1im*theta)) , GateCall1) applied to the target qubit

Examples

julia> QXZoo.DefaultGates.r_phase(3,pi/2)
QXZoo.GateOps.GateCall1(QXZoo.GateOps.GateSymbolP(:r_phase, 0, false, 1.5707963267948966), 3)

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Two Qubit Gates: default

QXZoo.DefaultGates.c_x — Method

c_x(q_target::Int, q_ctrl::Int)

Generate a controlled Pauli-x (two qubit) GateCall (GateCall2), controlled on the index q_ctrl applied to the target q_target.

Examples

julia> QXZoo.DefaultGates.c_x(0, 1)
QXZoo.GateOps.GateCall2(QXZoo.GateOps.GateSymbol(:c_x, 0, false), 0, 1, QXZoo.GateOps.GateSymbol(:x, 0, false))

source

QXZoo.DefaultGates.c_y — Method

c_y(q_target::Int, q_ctrl::Int)

Generate a controlled Pauli-y (two qubit) GateCall (GateCall2), controlled on the index q_ctrl applied to the target q_target.

Examples

julia> QXZoo.DefaultGates.c_y(0, 1)
QXZoo.GateOps.GateCall2(QXZoo.GateOps.GateSymbol(:c_y, 0, false), 0, 1, QXZoo.GateOps.GateSymbol(:y, 0, false))

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QXZoo.DefaultGates.c_z — Method

c_z(q_target::Int, q_ctrl::Int)

Generate a controlled Pauli-x (two qubit) GateCall (GateCall2), controlled on the index q_ctrl applied to the target q_target.

Examples

julia> QXZoo.DefaultGates.c_z(0, 1)
QXZoo.GateOps.GateCall2(QXZoo.GateOps.GateSymbol(:c_z, 0, false), 0, 1, QXZoo.GateOps.GateSymbol(:z, 0, false))

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Two Qubit Gates: rotation and arbitrary

QXZoo.DefaultGates.c_u — Method

c_u(label::GateSymbol, q_target::Int, q_ctrl::Int)

Generate a controlled unitary (two qubit) GateCall (GateCall2), controlled on the index q_ctrl applied to the target q_target.

Examples

julia> QXZoo.DefaultGates.c_u(QXZoo.GateOps.GateSymbol(:myCU), 0, 1)
QXZoo.GateOps.GateCall2(QXZoo.GateOps.GateSymbol(:myCU, 0, false), 0, 1, nothing)

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QXZoo.DefaultGates.c_r_x — Method

c_r_x(q_target::Int, q_ctrl::Int, theta::Number)

Generate a controlled rotation about x (exp(-iθx/2)) GateCall (GateCall2), controlled on the index q_ctrl applied to the target q_target.

Examples

julia> QXZoo.DefaultGates.c_r_x( 0, 1, pi/2)
QXZoo.GateOps.GateCall2(QXZoo.GateOps.GateSymbolP(:c_r_x, 0, false, 1.5707963267948966), 0, 1, nothing)

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QXZoo.DefaultGates.c_r_y — Method

c_r_y(q_target::Int, q_ctrl::Int, theta::Number)

Generate a controlled rotation about y (exp(iθy/2)) GateCall (GateCall2), controlled on the index q_ctrl applied to the target q_target.

Examples

julia> QXZoo.DefaultGates.c_r_y( 0, 1, pi/3)
QXZoo.GateOps.GateCall2(QXZoo.GateOps.GateSymbolP(:c_r_y, 0, false, 1.0471975511965976), 0, 1, nothing)

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QXZoo.DefaultGates.c_r_z — Method

c_r_z(q_target::Int, q_ctrl::Int, theta::Number)

Generate a controlled rotation about z (exp(iθz/2)) GateCall (GateCall2), controlled on the index q_ctrl applied to the target q_target

Examples

julia> QXZoo.DefaultGates.c_r_z( 0, 1, pi/4)
QXZoo.GateOps.GateCall2(QXZoo.GateOps.GateSymbolP(:c_r_z, 0, false, 0.7853981633974483), 0, 1, nothing)

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QXZoo.DefaultGates.c_r_phase — Method

c_r_phase(q_target::Int, q_ctrl::Int, theta::Real)

Generate a controlled phase rotation about (controlled [1 0; 0 exp(iθ)] GateCall (GateCall2), controlled on the index q_ctrl applied to the target q_target.

Examples

julia> QXZoo.DefaultGates.c_r_phase( 0, 1, pi/7 )
QXZoo.GateOps.GateCall2(QXZoo.GateOps.GateSymbolP(:c_r_phase, 0, false, 0.4487989505128276), 0, 1, nothing)

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