QuantumBool

class QuantumBool(qs=None, name=None)

QuantumBools are the quantum type, which represents boolean truth values. They are the return type of comparison operators like the equality ==.

Apart from their behavior as a QuantumVariable, they can also be treated like ControlEnvironments.

Examples

We create a QuantumBool and set it to uniform superposition

>>> from qrisp import QuantumBool, h
>>> q_bool_0 = QuantumBool()
>>> h(q_bool_0)
>>> print(q_bool_0)
{False: 0.5, True: 0.5}

We create a second QuantumBool and evaluate some logical functions

>>> q_bool_1 = QuantumBool()
>>> print(q_bool_1 | q_bool_0)
{False: 0.5, True: 0.5}
>>> print(q_bool_1 & q_bool_0)
{False: 1.0}

QuantumBools are the results of comparisons:

>>> from qrisp import QuantumFloat, QuantumChar
>>> q_ch = QuantumChar()
>>> q_ch[:] = {"g" : 1, "l" : -1}
>>> q_bool_2 = (q_ch == "g")
>>> q_bool_2.qs.statevector()
sqrt(2)*(|g>*|True> - |l>*|False>)/2

For QuantumFloats, numeric comparison is also possible:

>>> qf = QuantumFloat(4)
>>> h(qf[3])
>>> print(qf)
{0: 0.5, 8: 0.5}
>>> q_bool_3 = (qf >=  4)
>>> print(q_bool_3)
{False: 0.5, True: 0.5}

To use a QuantumBool as a ControlEnvironment, we simply put it in a with statement:

with q_bool_3:
    qf += 2

>>> print(qf)
{0: 0.5, 10: 0.5}

QuantumBools that are created directly after a with statement are uncomputed automatically:

with qf == 10:
    q_bool_3.flip()

>>> print(qf.qs)

QuantumCircuit:
--------------
                   ┌────────────┐     ┌───────────┐
        qf.0: ─────┤0           ├─────┤0          ├──o─────────o──
                   │            │     │           │  │         │
        qf.1: ─────┤1           ├─────┤1          ├──■─────────■──
                   │            │     │  __iadd__ │  │         │
        qf.2: ─────┤2           ├─────┤2          ├──o─────────o──
              ┌───┐│  less_than │     │           │  │         │
        qf.3: ┤ H ├┤3           ├─────┤3          ├──■─────────■──
              └───┘│            │┌───┐└─────┬─────┘  │  ┌───┐  │
    lt_qbl.0: ─────┤4           ├┤ X ├──────■────────┼──┤ X ├──┼──
                   │            │└───┘               │  └─┬─┘  │
lt_ancilla.0: ─────┤5           ├────────────────────┼────┼────┼──
                   └────────────┘                  ┌─┴─┐  │  ┌─┴─┐
  cond_env.0: ─────────────────────────────────────┤ X ├──■──┤ X ├
                                                   └───┘     └───┘
Live QuantumVariables:
---------------------
QuantumFloat qf
QuantumBool lt_qbl

Note that there is only a single QuantumBool listed in the “Live QuantumVariables” section, because the QuantumBool of the comparison qf == 10 (called cond_env) has been uncomputed.

Methods

QuantumBool.flip()

Flips the QuantumBool's value.