Cycle
 class trueq.Cycle(content=None, marker=0, dim=None)
Represents a “clock cycle” of a
Circuit
; a set ofGate
s that happen in parallel to a disjoint set of systems. The storage format is adict
that mapstuple
s of system labels toGate
objects. Any given system can only be addressed once in aCycle
.This class is iterable, yielding tuples of the form
(labels, gate)
.import trueq as tq # Single system operations can be applied to multiple systems at once cycle = tq.Cycle({(0, 1): tq.Gate.cnot, (2, 3, 4): tq.Gate.t}) for labels, operation in cycle: print(f"Labels: {str(labels): <8}\tOperation: {operation}")
Labels: (0, 1) Operation: Gate.cx Labels: (2,) Operation: Gate.t Labels: (3,) Operation: Gate.t Labels: (4,) Operation: Gate.t
Compilation tools will only perform actions on lists of contiguous cycles with equal markers; markers serve as a compiler directive describing which portions of a circuit can be recompiled as a block.
 Parameters
content (
dict
) – Adict
whose keys aretuple
s and whose values areOperation
s; the methodadd()
is called on each pair.marker (
int
) – An identifier used to label related cycles for compiler and benchmarking tools.dim (
int
NoneType
) – The dimension of each subsystem that gates in this cycle act on, which must be consistent with all providedcontent
. IfNone
, which is default, then the dimension is inferred by any providedGate
s, and if none are present, then the value is set to the value ofget_dim()
.
 property dim
The dimension of each subsystem, e.g.
2
if this cycle acts on qubits.import trueq as tq cycle = tq.Cycle({(0, 1): tq.Gate.cnot, (2, 3, 4): tq.Gate.t}) cycle.dim
2
 Type
int
 property labels
The sorted union of all system labels acted on by
Operation
s in thisCycle
.import trueq as tq cycle = tq.Cycle( {(0, 1): tq.Gate.cnot, (2, 3, 4): tq.Gate.t, 5: tq.Meas(), 6: tq.Prep()} ) cycle.labels
(0, 1, 2, 3, 4, 5, 6)
 Type
tuple
 property n_gates
The number of gates in this
Cycle
.import trueq as tq cycle = tq.Cycle( {(0, 1): tq.Gate.cnot, (2, 3, 4): tq.Gate.t, 5: tq.Meas(), 6: tq.Prep()} ) cycle.n_gates
4
 Type
int
 property n_meas
The number of measurements (
Meas
) in thisCycle
.import trueq as tq cycle = tq.Cycle( {(0, 1): tq.Gate.cnot, (2, 3, 4): tq.Gate.t, 5: tq.Meas(), 6: tq.Prep()} ) cycle.n_meas
1
 Type
int
 property n_prep
The number of preparations (
Prep
) in thisCycle
.import trueq as tq cycle = tq.Cycle( {(0, 1): tq.Gate.cnot, (2, 3, 4): tq.Gate.t, 5: tq.Meas(), 6: tq.Prep()} ) cycle.n_prep
1
 Type
int
 property n_operations
The total number of operations in this
Cycle
, equal to the sum ofn_gates
,n_meas
, andn_prep
.import trueq as tq cycle = tq.Cycle( {(0, 1): tq.Gate.cnot, (2, 3, 4): tq.Gate.t, 5: tq.Meas(), 6: tq.Prep()} ) cycle.n_operations
6
 Type
int
 property n_sys
The number of distinct systems participating in this
Cycle
.import trueq as tq cycle = tq.Cycle( {(0, 1): tq.Gate.cnot, (2, 3, 4): tq.Gate.t, 5: tq.Meas(), 6: tq.Prep()} ) cycle.n_sys
7
 Type
int
 property gates
The
dict
ofGate
s in thisCycle
.import trueq as tq cycle = tq.Cycle( {(0, 1): tq.Gate.cnot, (2, 3, 4): tq.Gate.t, 5: tq.Meas(), 6: tq.Prep()} ) cycle.gates
{(0, 1): Gate.cx, (2,): Gate.t, (3,): Gate.t, (4,): Gate.t}
 Type
dict
 property gates_single
The singlequbit gates of this cycle; a
dict
ofGate
s in thisCycle
that act on one subsystem.import trueq as tq cycle = tq.Cycle( {(0, 1): tq.Gate.cnot, (2, 3, 4): tq.Gate.t, 5: tq.Meas(), 6: tq.Prep()} ) cycle.gates_single
{(2,): Gate.t, (3,): Gate.t, (4,): Gate.t}
 Type
dict
 property gates_multi
The multiqubit gates of this cycle; a
dict
ofGate
s in thisCycle
that act on at least two subsystems.import trueq as tq cycle = tq.Cycle( {(0, 1): tq.Gate.cnot, (2, 3, 4): tq.Gate.t, 5: tq.Meas(), 6: tq.Prep()} ) cycle.gates_multi
{(0, 1): Gate.cx}
 Type
dict
 property gate_labels
A sorted tuple of all labels in the cycle that have gates (i.e. labels that point to a
Gate
operation).import trueq as tq cycle = tq.Cycle( {(0, 1): tq.Gate.cnot, (2, 3, 4): tq.Gate.t, 5: tq.Meas(), 6: tq.Prep()} ) cycle.gate_labels
(0, 1, 2, 3, 4)
 Type
tuple
 property prep
The
dict
ofPrep
s in thisCycle
.import trueq as tq cycle = tq.Cycle( {(0, 1): tq.Gate.cnot, (2, 3, 4): tq.Gate.t, 5: tq.Meas(), 6: tq.Prep()} ) cycle.prep
{(6,): Prep()}
 Type
dict
 property prep_labels
A sorted tuple of all labels in the cycle that are a preparation (i.e. labels that point to a
Prep
operation).import trueq as tq cycle = tq.Cycle( {(0, 1): tq.Gate.cnot, (2, 3, 4): tq.Gate.t, 5: tq.Meas(), 6: tq.Prep()} ) cycle.prep_labels
(6,)
 Type
tuple
 property meas
The
dict
ofMeas
s in thisCycle
.import trueq as tq cycle = tq.Cycle( {(0, 1): tq.Gate.cnot, (2, 3, 4): tq.Gate.t, 5: tq.Meas(), 6: tq.Prep()} ) cycle.meas
{(5,): Meas()}
 Type
dict
 property meas_labels
A sorted tuple of all labels in the cycle that are a preparation (i.e. labels that point to a
Meas
operation).import trueq as tq cycle = tq.Cycle( {(0, 1): tq.Gate.cnot, (2, 3, 4): tq.Gate.t, 5: tq.Meas(), 6: tq.Prep()} ) cycle.meas_labels
(5,)
 Type
tuple
 property operations
The total
dict
ofOperation
s in thisCycle
.import trueq as tq cycle = tq.Cycle( {(0, 1): tq.Gate.cnot, (2, 3, 4): tq.Gate.t, 5: tq.Meas(), 6: tq.Prep()} ) cycle.operations
{(0, 1): Gate.cx, (2,): Gate.t, (3,): Gate.t, (4,): Gate.t, (6,): Prep(), (5,): Meas()}
 Type
dict
 contained_gates(labels)
Yields the pairs of labels and gates of this
Cycle
on the given labels. If the label only contains a partial overlap with aGate
in thisCycle
, it will not be included.import trueq as tq cycle = tq.Cycle({0: tq.Gate.x, (1, 2): tq.Gate.cx, 3: tq.Gate.x}) {labels: gate for labels, gate in cycle.contained_gates([0, 3])}
{(0,): Gate.x, (3,): Gate.x}
 Parameters
labels (
Iterable
) – A labels to restrict this cycle to. Return type
generator
 tensor(labels=None)
Returns a
Tensor
representation of theGate
s in thisCycle
.The matrix representation (which will be exponentially sized in the number of systems!) of this cycle can be obtained with:
import trueq as tq cycle = tq.Cycle({(0, 1): tq.Gate.cx, 2: tq.Gate.i}) matrix = cycle.tensor().mat() tq.plot_mat(matrix)
 Parameters
labels (
list
) – An optional list of labels to force into the tensor in case they are not already present as labels in this cycle. Return type
 is_equivalent(other, ignore_marker=True, ignore_id=True)
Checks if this cycle is equivalent to another cycle.
import trueq as tq cycle1 = tq.Cycle({(0, 1): tq.Gate.cx}) cycle2 = tq.Cycle({(0, 1): tq.Gate.cx}) cycle1.is_equivalent(cycle2)
True
 Parameters
other (
Cycle
) – Another cycle to compare this one to.ignore_marker (
bool
) – Whether to ignore the marker values. Default isTrue
.ignore_id (
bool
) – Whether to treat all identity gates as though they are not present. Default isTrue
.
 Return type
bool
 same_structure(other)
Determine if this cycle has the same structure as the other cycle, that is if it is identical to another cycle except for the parameters of any
NativeGate
s. See alsosame_structure()
.For a rudimentary example, see below. For a detailed example using gate factories and the compiler, see
same_structure()
.import trueq as tq # the following cycles are defined so that they have the same structure nx = tq.NativeGate.from_generators("rx", "X", 180, params={"theta": 180}) nx1 = tq.NativeGate.from_generators("rx", "X", 90, params={"theta": 90}) cycle1 = tq.Cycle({0: tq.Meas(), 1: nx, 2: tq.Gate.z}) cycle2 = tq.Cycle({0: tq.Meas(), 1: nx1, 2: tq.Gate.z}) # as stated, these cycles have the same structure, but are not equal assert cycle1 != cycle2 assert cycle1.same_structure(cycle2)
 Parameters
other (
Cycle
) – Another cycle to compare to. Return type
bool
 to_dict()
Returns a dictionary representation of a
Cycle
object. This dictionary representation contains only base Python classes.import trueq as tq cycle = tq.Cycle({(0, 1): tq.Gate.cx}) cycle.to_dict()
{'content': {(0, 1): ('Gate', {'u': (((1+0j), 0j, 0j, 0j), (0j, (1+0j), 0j, 0j), (0j, 0j, 0j, (1+0j)), (0j, 0j, (1+0j), 0j))})}, 'marker': 0, 'dim': 2}
 Return type
dict
 static from_dict(dic)
Returns a
Cycle
constructed from a dictionary representation.import trueq as tq cycle = tq.Cycle({(0, 1): tq.Gate.cx}) cycle.from_dict(cycle.to_dict())
TrueQ formatting will not be loaded without trusting this notebook or rerunning the affected cells. Notebooks can be marked as trusted by clicking "File > Trust Notebook". Marker 0
Compilation tools may only recompile cycles with equal markers.(0, 1): Gate.cx Name:

 Gate.cx
 Aliases:

 Gate.cx
 Gate.cnot
 Likeness:

 CNOT
 Generators:

 'ZX': 90.0
 'IX': 90.0
 'ZI': 90.0
 Matrix:

 property marker
An identifier used to label related cycles for compiler and benchmarking tools.
This defaults to
0
but can be optionally set to any positiveint
. Type
int