SwapOperator - Revision history

Nathaniel at 17:56, 12 November 2014

2014-11-12T17:56:33Z

Nathaniel at 17:55, 12 November 2014

2014-11-12T17:55:41Z

Nathaniel: Updated to v0.60

2014-11-12T17:55:23Z

Updated to v0.60

Nathaniel at 19:24, 23 September 2014

2014-09-23T19:24:29Z

Nathaniel: Uploaded v1.01

2012-11-28T19:07:37Z

Uploaded v1.01

Nathaniel at 21:37, 20 November 2012

2012-11-20T21:37:58Z

Nathaniel: Created page with "{{Function |name=SwapOperator |desc=Produces a unitary operator that swaps two subsystems |req=opt_args
PermuteSystems
Swap |rel=[[PermutationOperato..."

2012-11-15T20:15:36Z

Created page with "{{Function |name=SwapOperator |desc=Produces a unitary operator that swaps two subsystems |req=opt_args<br />PermuteSystems<br />Swap |rel=[[PermutationOperato..."

New page

{{Function
|name=SwapOperator
|desc=Produces a [[unitary operator]] that swaps two subsystems
|req=[[opt_args]]<br />[[PermuteSystems]]<br />[[Swap]]
|rel=[[PermutationOperator]]
|upd=November 15, 2012
|v=1.00|}}
<tt>'''SwapOperator'''</tt> is a [[List of functions|function]] that returns a [[unitary operator]] that swaps two subsystems (there may be more than two subsystems overall – the extra subsystems are left alone). The unitary can be chosen to be full or sparse.

==Syntax==
* <tt>S = SwapOperator(DIM)</tt>
* <tt>S = SwapOperator(DIM,SYS)</tt>
* <tt>S = SwapOperator(DIM,SYS,SP)</tt>

==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:
** If <tt>DIM</tt> is a scalar, then all subsystems are assumed to have dimension <tt>DIM</tt>.
** If the subsystems have unequal dimensions, <tt>DIM</tt> should be a vector containing their dimensions.
* <tt>SYS</tt> (optional, default <tt>[1,2]</tt>): A 1-by-2 vector containing the indices of the subsystems to be swapped.
* <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==
===The standard [[swap operator]]===

The following code produces the operator that [[swap operator|swaps]] two [[qubit]]s:

<pre>
>> SwapOperator(2)

ans =

1 0 0 0
0 0 1 0
0 1 0 0
0 0 0 1
</pre>

@@ Line 6: / Line 6: @@
 |upd=November 12, 2014
 |v=0.60}}
-<tt>'''SwapOperator'''</tt> is a [[List of functions|function]] that returns a unitary operator that swaps two subsystems (there may be more than two subsystems overall &ndash; the extra subsystems are left alone). The unitary can be chosen to be full or sparse.
+<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==
 * <tt>S = SwapOperator(DIM)</tt>
-* <tt>S = SwapOperator(DIM,SYS)</tt>
+* <tt>S = SwapOperator(DIM,SP)</tt>
 ==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:
-** If <tt>DIM</tt> is a scalar, then all subsystems are assumed to have dimension <tt>DIM</tt>.
+** 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 vector containing their dimensions.
+** 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.
 ==Examples==
 ===The standard swap operator===
 The following code produces the operator that swaps two qubits:

@@ Line 1: / Line 1: @@
 {{Function
 |name=SwapOperator
-|desc=Produces a [[unitary operator]] that swaps two subsystems
+|desc=Produces a unitary operator that swaps two subsystems
 |rel=[[PermutationOperator]]<br />[[PermuteSystems]]<br />[[Swap]]<br />[[SymmetricProjection]]
 |cat=[[List of functions#Permutations_and_symmetry_of_subsystems|Permutations and symmetry of subsystems]]
 |upd=November 12, 2014
 |v=0.60}}
-<tt>'''SwapOperator'''</tt> is a [[List of functions|function]] that returns a [[unitary operator]] that swaps two subsystems (there may be more than two subsystems overall &ndash; the extra subsystems are left alone). The unitary can be chosen to be full or sparse.
+<tt>'''SwapOperator'''</tt> is a [[List of functions|function]] that returns a unitary operator that swaps two subsystems (there may be more than two subsystems overall &ndash; the extra subsystems are left alone). The unitary can be chosen to be full or sparse.
 ==Syntax==

@@ Line 4: / Line 4: @@
 |rel=[[PermutationOperator]]<br />[[PermuteSystems]]<br />[[Swap]]<br />[[SymmetricProjection]]
 |cat=[[List of functions#Permutations_and_symmetry_of_subsystems|Permutations and symmetry of subsystems]]
-|upd=November 28, 2012
+|upd=November 12, 2014
-|v=0.50}}
+|v=0.60}}
 <tt>'''SwapOperator'''</tt> is a [[List of functions|function]] that returns a [[unitary operator]] that swaps two subsystems (there may be more than two subsystems overall &ndash; the extra subsystems are left alone). The unitary can be chosen to be full or sparse.

@@ Line 2: / Line 2: @@
 |name=SwapOperator
 |desc=Produces a [[unitary operator]] that swaps two subsystems
-|req=[[iden]]<br />[[opt_args]]<br />[[PermuteSystems]]<br />[[Swap]]
+|rel=[[PermutationOperator]]<br />[[PermuteSystems]]<br />[[Swap]]<br />[[SymmetricProjection]]
-|rel=[[PermutationOperator]]<br />[[SymmetricProjection]]
+|cat=[[List of functions#Permutations_and_symmetry_of_subsystems|Permutations and symmetry of subsystems]]
 |upd=November 28, 2012
-|v=1.01|}}
+|v=0.50}}
 <tt>'''SwapOperator'''</tt> is a [[List of functions|function]] that returns a [[unitary operator]] that swaps two subsystems (there may be more than two subsystems overall &ndash; the extra subsystems are left alone). The unitary can be chosen to be full or sparse.
@@ Line 21: / Line 21: @@
 ==Examples==
-===The standard [[swap operator]]===
+===The standard swap operator===
-The following code produces the operator that [[swap operator|swaps]] two [[qubit]]s:
+The following code produces the operator that swaps two qubits:
-<pre>
+<syntaxhighlight>
 >> SwapOperator(2)
@@ Line 34: / Line 34: @@
      1     0     0
      0     0     1
-</pre>
+</syntaxhighlight>

@@ Line 2: / Line 2: @@
 |name=SwapOperator
 |desc=Produces a [[unitary operator]] that swaps two subsystems
-|req=[[opt_args]]<br />[[PermuteSystems]]<br />[[Swap]]
+|req=[[iden]]<br />[[opt_args]]<br />[[PermuteSystems]]<br />[[Swap]]
 |rel=[[PermutationOperator]]<br />[[SymmetricProjection]]
-|upd=November 15, 2012
+|upd=November 28, 2012
-|v=1.00|}}
+|v=1.01|}}
 <tt>'''SwapOperator'''</tt> is a [[List of functions|function]] that returns a [[unitary operator]] that swaps two subsystems (there may be more than two subsystems overall &ndash; the extra subsystems are left alone). The unitary can be chosen to be full or sparse.