Randomized Compiling 2

In this example, one of the single-qubit gates is immutable. Note that the circuit depth increases in this instance because the random gates cannot be compiled into an immutable cycle.

Note

Randomized compiling produces a new circuit collection after each call, so the output of this example will be different if it’s executed again.

Note

Cycles containing multi-qubit gates are assigned to be immutable by default, while single-qubit gates are mutable by default. Randomized compiling will not attempt to compile new gates into immutable cycles.

Import True-Q:

import trueq as tq

Define a circuit which applies alternating cycles, with an X gate on qubit 0 in one cycle and a controlled-Z gate on qubits 0 and 1 in the other cycle, and where the middle cycle with an X gate is immutable:

cycle1 = tq.Cycle({(0,): tq.Gate.x})
cycle2 = tq.Cycle({(0, 1): tq.Gate.cz})
cycle3 = tq.Cycle({(0,): tq.Gate.x}, immutable=True)
circuit = tq.Circuit([cycle1, cycle2, cycle3, cycle2, cycle1])

Display the original circuit:

circuit

•  

  • (0) Gate.x

    • Name:

      • Gate.x

    • Aliases:

      • Gate.x
      • Gate.cliff1

    • Generators:

      • 'X': 180.0

    • Matrix:

• imm

  • (0, 1) Gate.cz

    • Name:

      • Gate.cz

    • Aliases:

      • Gate.cz

    • Likeness:

      • CNOT

    • Generators:

      • 'IZ': 90.0
      • 'ZI': 90.0
      • 'ZZ': -90.0

    • Matrix:

• imm

  • (0) Gate.x

    • Name:

      • Gate.x

    • Aliases:

      • Gate.x
      • Gate.cliff1

    • Generators:

      • 'X': 180.0

    • Matrix:

• imm

  • (0, 1) Gate.cz

    • Name:

      • Gate.cz

    • Aliases:

      • Gate.cz

    • Likeness:

      • CNOT

    • Generators:

      • 'IZ': 90.0
      • 'ZI': 90.0
      • 'ZZ': -90.0

    • Matrix:

•  

  • (0) Gate.x

    • Name:

      • Gate.x

    • Aliases:

      • Gate.x
      • Gate.cliff1

    • Generators:

      • 'X': 180.0

    • Matrix:

Call randomized compiling on the circuit:

compiled_circuit = tq.randomly_compile(circuit)

Display one of the randomly compiled circuits:

compiled_circuit[0]

•  

  • (0) Gate.x

    • Name:

      • Gate.x

    • Aliases:

      • Gate.x
      • Gate.cliff1

    • Generators:

      • 'X': 180.0

    • Matrix:

  • (1) Gate.z

    • Name:

      • Gate.z

    • Aliases:

      • Gate.z
      • Gate.cliff3

    • Generators:

      • 'Z': 180.0

    • Matrix:

• imm

  • (0, 1) Gate.cz

    • Name:

      • Gate.cz

    • Aliases:

      • Gate.cz

    • Likeness:

      • CNOT

    • Generators:

      • 'IZ': 90.0
      • 'ZI': 90.0
      • 'ZZ': -90.0

    • Matrix:

•  

  • (0) Gate.y

    • Name:

      • Gate.y

    • Aliases:

      • Gate.y
      • Gate.cliff2

    • Generators:

      • 'Y': 180.0

    • Matrix:

  • (1) Gate.x

    • Name:

      • Gate.x

    • Aliases:

      • Gate.x
      • Gate.cliff1

    • Generators:

      • 'X': 180.0

    • Matrix:

• imm

  • (0) Gate.x

    • Name:

      • Gate.x

    • Aliases:

      • Gate.x
      • Gate.cliff1

    • Generators:

      • 'X': 180.0

    • Matrix:

•  

  • (0) Gate.z

    • Name:

      • Gate.z

    • Aliases:

      • Gate.z
      • Gate.cliff3

    • Generators:

      • 'Z': 180.0

    • Matrix:

  • (1) Gate.id

    • Name:

      • Gate.id

    • Aliases:

      • Gate.id
      • Gate.i
      • Gate.cliff0

    • Likeness:

      • Identity

    • Generators:

      • 'I': 0

    • Matrix:

• imm

  • (0, 1) Gate.cz

    • Name:

      • Gate.cz

    • Aliases:

      • Gate.cz

    • Likeness:

      • CNOT

    • Generators:

      • 'IZ': 90.0
      • 'ZI': 90.0
      • 'ZZ': -90.0

    • Matrix:

•  

  • (0) Gate.z

    • Name:

      • Gate.z

    • Aliases:

      • Gate.z
      • Gate.cliff3

    • Generators:

      • 'Z': 180.0

    • Matrix:

  • (1) Gate.x

    • Name:

      • Gate.x

    • Aliases:

      • Gate.x
      • Gate.cliff1

    • Generators:

      • 'X': 180.0

    • Matrix: