44 lines
3.0 KiB
Plaintext
44 lines
3.0 KiB
Plaintext
---
|
||
title: Sawtooth (latest version)
|
||
description: API reference for qiskit.pulse.library.Sawtooth in the latest version of qiskit
|
||
in_page_toc_min_heading_level: 1
|
||
python_api_type: function
|
||
python_api_name: qiskit.pulse.library.Sawtooth
|
||
---
|
||
|
||
<span id="qiskit-pulse-library-sawtooth" />
|
||
|
||
# qiskit.pulse.library.Sawtooth
|
||
|
||
<Function id="qiskit.pulse.library.Sawtooth" isDedicatedPage={true} github="https://github.com/Qiskit/qiskit/tree/stable/1.2/qiskit/pulse/library/symbolic_pulses.py#L1617-L1682" signature="qiskit.pulse.library.Sawtooth(duration, amp, phase, freq=None, angle=0.0, name=None, limit_amplitude=None)">
|
||
A sawtooth pulse.
|
||
|
||
The envelope of the pulse is given by:
|
||
|
||
$$
|
||
f(x) = 2\text{A}\left[g\left(x\right)-
|
||
\lfloor g\left(x\right)+\frac{1}{2}\rfloor\right]
|
||
$$
|
||
|
||
where $\text{A} = \text{amp} \times\exp\left(i\times\text{angle}\right)$, $g\left(x\right)=x\times\text{freq}+\frac{\text{phase}}{2\pi}$, and $\lfloor ...\rfloor$ is the floor operation.
|
||
|
||
**Parameters**
|
||
|
||
* **duration** ([*int*](https://docs.python.org/3/library/functions.html#int "(in Python v3.13)") *|*[*ParameterExpression*](qiskit.circuit.ParameterExpression "qiskit.circuit.ParameterExpression")) – Pulse length in terms of the sampling period dt.
|
||
* **amp** ([*float*](https://docs.python.org/3/library/functions.html#float "(in Python v3.13)") *|*[*ParameterExpression*](qiskit.circuit.ParameterExpression "qiskit.circuit.ParameterExpression")) – The magnitude of the amplitude of the sawtooth wave. Wave range is \[-amp,\`amp\`].
|
||
* **phase** ([*float*](https://docs.python.org/3/library/functions.html#float "(in Python v3.13)") *|*[*ParameterExpression*](qiskit.circuit.ParameterExpression "qiskit.circuit.ParameterExpression")) – The phase of the sawtooth wave (note that this is not equivalent to the angle of the complex amplitude)
|
||
* **freq** ([*float*](https://docs.python.org/3/library/functions.html#float "(in Python v3.13)") *|*[*ParameterExpression*](qiskit.circuit.ParameterExpression "qiskit.circuit.ParameterExpression") *| None*) – The frequency of the sawtooth wave, in terms of 1 over sampling period. If not provided defaults to a single cycle (i.e :math:’frac\{1}\{text\{duration}}’). The frequency is limited to the range $\left(0,0.5\right]$ (the Nyquist frequency).
|
||
* **angle** ([*float*](https://docs.python.org/3/library/functions.html#float "(in Python v3.13)") *|*[*ParameterExpression*](qiskit.circuit.ParameterExpression "qiskit.circuit.ParameterExpression") *| None*) – The angle in radians of the complex phase factor uniformly scaling the pulse. Default value 0.
|
||
* **name** ([*str*](https://docs.python.org/3/library/stdtypes.html#str "(in Python v3.13)") *| None*) – Display name for this pulse envelope.
|
||
* **limit\_amplitude** ([*bool*](https://docs.python.org/3/library/functions.html#bool "(in Python v3.13)") *| None*) – If `True`, then limit the amplitude of the waveform to 1. The default is `True` and the amplitude is constrained to 1.
|
||
|
||
**Returns**
|
||
|
||
ScalableSymbolicPulse instance.
|
||
|
||
**Return type**
|
||
|
||
ScalableSymbolicPulse
|
||
</Function>
|
||
|