Unitary

from qualtran import Bloq, CompositeBloq, BloqBuilder, Signature, Register
from qualtran import QBit, QInt, QUInt, QAny
from qualtran.drawing import show_bloq, show_call_graph, show_counts_sigma
from typing import *
import numpy as np
import sympy
import cirq

Unitary

Trivial block encoding of a unitary operator.

Builds the block encoding as \( B[U] = U \) where \(U\) is a unitary operator. Here, \(B[U]\) is a \((1, 0, 0)\)-block encoding of \(U\).

Parameters

• U: The unitary operator to block-encode.

• alpha: The normalization factor (default 1).

• ancilla_bitsize: The number of ancilla bits (default 0).

• resource_bitsize: The number of resource bits (default 0).

• epsilon: The precision parameter (default 0).

Registers

• system: The system register.

• ancilla: The ancilla register (present only if bitsize > 0).

• resource: The resource register (present only if bitsize > 0).

from qualtran.bloqs.block_encoding import Unitary

Example Instances

from qualtran.bloqs.basic_gates import TGate

unitary_block_encoding = Unitary(TGate())

from attrs import evolve

from qualtran.bloqs.basic_gates import TGate

unitary_block_encoding_properties = evolve(
    Unitary(TGate()), alpha=0.5, ancilla_bitsize=2, resource_bitsize=1, epsilon=0.01
)

Graphical Signature

from qualtran.drawing import show_bloqs
show_bloqs([unitary_block_encoding, unitary_block_encoding_properties],
           ['`unitary_block_encoding`', '`unitary_block_encoding_properties`'])

Call Graph

from qualtran.resource_counting.generalizers import ignore_split_join
unitary_block_encoding_g, unitary_block_encoding_sigma = unitary_block_encoding.call_graph(max_depth=1, generalizer=ignore_split_join)
show_call_graph(unitary_block_encoding_g)
show_counts_sigma(unitary_block_encoding_sigma)

Counts totals:

• T: 1