Difference between revisions of "SwapOperator"
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| − | <tt>'''SwapOperator'''</tt> is a [[List of functions|function]] that returns a unitary operator that swaps two subsystems | + | <tt>'''SwapOperator'''</tt> is a [[List of functions|function]] that returns a unitary operator that swaps two subsystems. The unitary can be chosen to be full or sparse. |
==Syntax== | ==Syntax== | ||
* <tt>S = SwapOperator(DIM)</tt> | * <tt>S = SwapOperator(DIM)</tt> | ||
| − | * <tt>S = SwapOperator(DIM | + | * <tt>S = SwapOperator(DIM,SP)</tt> |
| − | |||
==Argument descriptions== | ==Argument descriptions== | ||
* <tt>DIM</tt>: A specification of the dimensions of the subsystems that <tt>S</tt> will act on. <tt>DIM</tt> can be provided in one of two ways: | * <tt>DIM</tt>: A specification of the dimensions of the subsystems that <tt>S</tt> will act on. <tt>DIM</tt> can be provided in one of two ways: | ||
| − | ** If <tt>DIM</tt> is a scalar, then | + | ** If <tt>DIM</tt> is a scalar, then both subsystems are assumed to have dimension <tt>DIM</tt>. |
| − | ** If the subsystems have unequal dimensions, <tt>DIM</tt> should be a | + | ** If the subsystems have unequal dimensions, <tt>DIM</tt> should be a 1-by-2 vector containing their dimensions. |
| − | |||
* <tt>SP</tt> (optional, default 0): If set equal to 1, the swap operator is sparse. If equal to 0, the swap operator is full. | * <tt>SP</tt> (optional, default 0): If set equal to 1, the swap operator is sparse. If equal to 0, the swap operator is full. | ||
==Examples== | ==Examples== | ||
===The standard swap operator=== | ===The standard swap operator=== | ||
| − | |||
The following code produces the operator that swaps two qubits: | The following code produces the operator that swaps two qubits: | ||
Latest revision as of 17:56, 12 November 2014
| SwapOperator | |
| Produces a unitary operator that swaps two subsystems | |
| Other toolboxes required | none |
|---|---|
| Related functions | PermutationOperator PermuteSystems Swap SymmetricProjection |
| Function category | Permutations and symmetry of subsystems |
SwapOperator is a function that returns a unitary operator that swaps two subsystems. The unitary can be chosen to be full or sparse.
Syntax
- S = SwapOperator(DIM)
- S = SwapOperator(DIM,SP)
Argument descriptions
- DIM: A specification of the dimensions of the subsystems that S will act on. DIM can be provided in one of two ways:
- If DIM is a scalar, then both subsystems are assumed to have dimension DIM.
- If the subsystems have unequal dimensions, DIM should be a 1-by-2 vector containing their dimensions.
- SP (optional, default 0): If set equal to 1, the swap operator is sparse. If equal to 0, the swap operator is full.
Examples
The standard swap operator
The following code produces the operator that swaps two qubits:
>> SwapOperator(2)
ans =
1 0 0 0
0 0 1 0
0 1 0 0
0 0 0 1Source code
Click here to view this function's source code on github.