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288 changes: 288 additions & 0 deletions cirq-core/cirq/transformers/connected_component.py
Original file line number Diff line number Diff line change
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# Copyright 2025 The Cirq Developers
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# https://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

"""Defines a connected component of operations, to be used in merge transformers."""

from __future__ import annotations

from typing import Callable, cast, Sequence, TYPE_CHECKING

from typing_extensions import override

from cirq import ops, protocols

if TYPE_CHECKING:
import cirq


class Component:
"""Internal representation for a connected component of operations.

It uses the disjoint-set data structure to implement merge efficiently.
Additional merge conditions can be added by deriving from the Component
class and overriding the merge function (see ComponentWithOps and
ComponentWithCircuitOp) below.
"""

# Properties for the disjoint set data structure
parent: Component | None = None
rank: int = 0

# True if the component can be merged
is_mergeable: bool

# Circuit moment containing the component
moment_id: int
# Union of all op qubits in the component
qubits: frozenset[cirq.Qid]
# Union of all measurement keys in the component
mkeys: frozenset[cirq.MeasurementKey]
# Union of all control keys in the component
ckeys: frozenset[cirq.MeasurementKey]
# Initial operation in the component
op: cirq.Operation

def __init__(self, op: cirq.Operation, moment_id: int, is_mergeable=True):
"""Initializes a singleton component."""
self.is_mergeable = is_mergeable
self.moment_id = moment_id
self.qubits = frozenset(op.qubits)
self.mkeys = protocols.measurement_key_objs(op)
self.ckeys = protocols.control_keys(op)
self.op = op

def find(self) -> Component:
"""Finds the component representative."""

root = self
while root.parent is not None:
root = root.parent
x = self
while x != root:
parent = x.parent
x.parent = root
x = cast(Component, parent)
return root

def merge(self, c: Component, merge_left=True) -> Component | None:
"""Attempts to merge two components.

If merge_left is True, c is merged into this component, and the representative
will keep this component's moment. If merge_left is False, this component is
merged into c, and the representative will keep c's moment.

Args:
c: other component to merge
merge_left: True to keep self's moment for the merged component, False to
keep c's moment for the merged component.

Returns:
None, if the components can't be merged.
Otherwise the new component representative.
"""
x = self.find()
y = c.find()

if not x.is_mergeable or not y.is_mergeable:
return None

if x == y:
return x

if x.rank < y.rank:
if merge_left:
# As y will be the new representative, copy moment id from x
y.moment_id = x.moment_id
x, y = y, x
elif not merge_left:
# As x will be the new representative, copy moment id from y
x.moment_id = y.moment_id

y.parent = x
if x.rank == y.rank:
x.rank += 1

x.qubits = x.qubits.union(y.qubits)
x.mkeys = x.mkeys.union(y.mkeys)
x.ckeys = x.ckeys.union(y.ckeys)
return x


class ComponentWithOps(Component):
"""Component that keeps track of operations.

Encapsulates a method can_merge that is used to decide if two components
can be merged.
"""

# List of all operations in the component
ops: list[cirq.Operation]

# Method to decide if two components can be merged based on their operations
can_merge: Callable[[Sequence[cirq.Operation], Sequence[cirq.Operation]], bool]

def __init__(
self,
op: cirq.Operation,
moment_id: int,
can_merge: Callable[[Sequence[cirq.Operation], Sequence[cirq.Operation]], bool],
is_mergeable=True,
):
super().__init__(op, moment_id, is_mergeable)
self.ops = [op]
self.can_merge = can_merge

@override
def merge(self, c: Component, merge_left=True) -> Component | None:
"""Attempts to merge two components.

Returns:
None if can_merge is False, otherwise the new representative.
The representative will have ops = a.ops + b.ops.
"""
x = cast(ComponentWithOps, self.find())
y = cast(ComponentWithOps, c.find())

if x == y:
return x

if not x.is_mergeable or not y.is_mergeable or not x.can_merge(x.ops, y.ops):
return None

root = cast(ComponentWithOps, super(ComponentWithOps, x).merge(y, merge_left))
root.ops = x.ops + y.ops
# Clear the ops list in the non-representative set to avoid memory consumption
if x != root:
x.ops = []
else:
y.ops = []
return root


class ComponentWithCircuitOp(Component):
"""Component that keeps track of operations as a CircuitOperation.

Encapsulates a method merge_func that is used to merge two components.
"""

# CircuitOperation containing all the operations in the component,
# or a single Operation if the component is a singleton
circuit_op: cirq.Operation

merge_func: Callable[[ops.Operation, ops.Operation], ops.Operation | None]

def __init__(
self,
op: cirq.Operation,
moment_id: int,
merge_func: Callable[[ops.Operation, ops.Operation], ops.Operation | None],
is_mergeable=True,
):
super().__init__(op, moment_id, is_mergeable)
self.circuit_op = op
self.merge_func = merge_func

@override
def merge(self, c: Component, merge_left=True) -> Component | None:
"""Attempts to merge two components.

If merge_left is True, the merge will use this component representative's
merge_func. If merge_left is False, the merge will use c representative's
merge_func.

Returns:
None if merge_func returns None, otherwise the new representative.
"""
x = cast(ComponentWithCircuitOp, self.find())
y = cast(ComponentWithCircuitOp, c.find())

if x == y:
return x

if not x.is_mergeable or not y.is_mergeable:
return None

if merge_left:
new_op = x.merge_func(x.circuit_op, y.circuit_op)
else:
new_op = y.merge_func(x.circuit_op, y.circuit_op)
if not new_op:
return None

root = cast(ComponentWithCircuitOp, super(ComponentWithCircuitOp, x).merge(y, merge_left))

root.circuit_op = new_op
# The merge_func can be arbitrary, so we need to recompute the component properties
root.qubits = frozenset(new_op.qubits)
root.mkeys = protocols.measurement_key_objs(new_op)
root.ckeys = protocols.control_keys(new_op)

# Clear the circuit op in the non-representative set to avoid memory consumption
if x != root:
del x.circuit_op
else:
del y.circuit_op
return root


class ComponentFactory:
"""Factory for components."""

is_mergeable: Callable[[cirq.Operation], bool]

def __init__(self, is_mergeable: Callable[[cirq.Operation], bool]):
self.is_mergeable = is_mergeable

def new_component(self, op: cirq.Operation, moment_id: int, is_mergeable=True) -> Component:
return Component(op, moment_id, self.is_mergeable(op) and is_mergeable)


class ComponentWithOpsFactory(ComponentFactory):
"""Factory for components with operations."""

can_merge: Callable[[Sequence[cirq.Operation], Sequence[cirq.Operation]], bool]

def __init__(
self,
is_mergeable: Callable[[cirq.Operation], bool],
can_merge: Callable[[Sequence[cirq.Operation], Sequence[cirq.Operation]], bool],
):
super().__init__(is_mergeable)
self.can_merge = can_merge

@override
def new_component(self, op: cirq.Operation, moment_id: int, is_mergeable=True) -> Component:
return ComponentWithOps(
op, moment_id, self.can_merge, self.is_mergeable(op) and is_mergeable
)


class ComponentWithCircuitOpFactory(ComponentFactory):
"""Factory for components with operations as CircuitOperation."""

merge_func: Callable[[ops.Operation, ops.Operation], ops.Operation | None]

def __init__(
self,
is_mergeable: Callable[[cirq.Operation], bool],
merge_func: Callable[[ops.Operation, ops.Operation], ops.Operation | None],
):
super().__init__(is_mergeable)
self.merge_func = merge_func

@override
def new_component(self, op: cirq.Operation, moment_id: int, is_mergeable=True) -> Component:
return ComponentWithCircuitOp(
op, moment_id, self.merge_func, self.is_mergeable(op) and is_mergeable
)
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