sf.ops.Gaussian

class Gaussian(V, r=None, decomp=True, tol=1e-06)[source]

Bases: strawberryfields.ops.Preparation, strawberryfields.ops.Decomposition

Prepare the specified modes in a Gaussian state.

This operation uses the Williamson decomposition to prepare quantum modes into a given Gaussian state, specified by a vector of means and a covariance matrix.

The Williamson decomposition decomposes the Gaussian state into a Gaussian transformation (represented by a symplectic matrix) acting on Thermal states. The Gaussian transformation is then further decomposed into an array of beamsplitters and local squeezing and rotation gates, by way of the GaussianTransform and Interferometer decompositions.

Alternatively, the decomposition can be explicitly turned off, and the backend can be explicitly prepared in the Gaussian state provided. This is only supported by backends using the Gaussian representation.

Parameters
  • V (array[float]) – an \(2N\times 2N\) (real and positive definite) covariance matrix

  • r (array[float] or None) – Length \(2N\) vector of means, of the form \((\x_0,\dots,\x_{N-1},\p_0,\dots,\p_{N-1})\). If None, it is assumed that \(r=0\).

  • decomp (bool) – Should the operation be decomposed into a sequence of elementary gates? If False, the state preparation is performed directly via the backend API.

  • tol (float) – the tolerance used when checking if the matrix is symmetric: \(|V-V^T| \leq\) tol

measurement_deps

Extra dependencies due to parameters that depend on measurements.

ns

measurement_deps

Extra dependencies due to parameters that depend on measurements.

Returns

dependencies

Return type

set[RegRef]

ns = None

apply(reg, backend, **kwargs)

Ask a local backend to execute the operation on the current register state right away.

decompose(reg, **kwargs)

Decompose the operation into elementary operations supported by the backend API.

merge(other)

Merge the operation with another (acting on the exact same set of subsystems).

apply(reg, backend, **kwargs)

Ask a local backend to execute the operation on the current register state right away.

Takes care of parameter evaluations and any pending formal transformations (like dagger) and then calls Operation._apply().

Parameters
  • reg (Sequence[RegRef]) – subsystem(s) the operation is acting on

  • backend (BaseBackend) – backend to execute the operation

Returns

the result of self._apply

Return type

Any

decompose(reg, **kwargs)

Decompose the operation into elementary operations supported by the backend API.

See strawberryfields.backends.base.

Parameters

reg (Sequence[RegRef]) – subsystems the operation is acting on

Returns

decomposition as a list of operations acting on specific subsystems

Return type

list[Command]

merge(other)

Merge the operation with another (acting on the exact same set of subsystems).

Note

For subclass overrides: merge may return a newly created object, or self, or other, but it must never modify self or other because the same Operation objects may be also used elsewhere.

Parameters

other (Operation) – operation to merge this one with

Returns

other * self. The return value None represents the identity gate (doing nothing).

Return type

Operation, None

Raises

MergeFailure – if the two operations cannot be merged