MaxEntangled - Revision history

Nathaniel at 20:01, 6 November 2014

2014-11-06T20:01:09Z

← Older revision		Revision as of 20:01, 6 November 2014
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	\|name=MaxEntangled		\|name=MaxEntangled
	\|desc=Produces a [[maximally entangled]] [[bipartite]] [[pure state]]		\|desc=Produces a [[maximally entangled]] [[bipartite]] [[pure state]]
	\|rel=[[Bell]]		\|rel=[[Bell]]<br />[[BrauerStates]]
	\|cat=[[List of functions#Special_states,_vectors,_and_operators\|Special states, vectors, and operators]]		\|cat=[[List of functions#Special_states,_vectors,_and_operators\|Special states, vectors, and operators]]
	\|upd=November 28, 2012		\|upd=November 28, 2012

Nathaniel at 15:09, 29 September 2014

2014-09-29T15:09:16Z

← Older revision		Revision as of 15:09, 29 September 2014
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	\|name=MaxEntangled		\|name=MaxEntangled
	\|desc=Produces a [[maximally entangled]] [[bipartite]] [[pure state]]		\|desc=Produces a [[maximally entangled]] [[bipartite]] [[pure state]]
	\|~~req~~=[[~~iden]]<br />[[opt_args~~]]		\|rel=[[Bell]]
	\|~~rel~~=[[~~BellState~~]]		\|cat=[[List of functions#Special_states,_vectors,_and_operators\|Special states, vectors, and operators]]
	\|upd=November 28, 2012		\|upd=November 28, 2012
	\|v=1.01}}		\|v=0.50}}
	<tt>'''MaxEntangled'''</tt> is a [[List of functions\|function]] that returns the canonical [[maximally entangled]] [[bipartite]] [[pure state]]. The state can be chosen to be either full or sparse.		<tt>'''MaxEntangled'''</tt> is a [[List of functions\|function]] that returns the canonical [[maximally entangled]] [[bipartite]] [[pure state]]. The state can be chosen to be either full or sparse.

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	===A maximally entangled qubit state===		===A maximally entangled qubit state===
	To generate a maximally entangled pair of qubits you can use the following line of code:		To generate a maximally entangled pair of qubits you can use the following line of code:
	<~~pre~~>		<syntaxhighlight>
	>> MaxEntangled(2)		>> MaxEntangled(2)

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	0		0
	0.7071		0.7071
	</~~pre~~>		</syntaxhighlight>

	If you want an unnormalized version of this state in which each entry of the vector is 0 or 1, specify <tt>NRML=0</tt>:		If you want an unnormalized version of this state in which each entry of the vector is 0 or 1, specify <tt>NRML=0</tt>:
	<~~pre~~>		<syntaxhighlight>
	>> MaxEntangled(2,0,0)		>> MaxEntangled(2,0,0)

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	0		0
	1		1
	</~~pre~~>		</syntaxhighlight>

	===In larger systems===		===In larger systems===
	When <tt>DIM</tt> is large, it is usually best to specify <tt>SP=1</tt> in order to save memory. For example, this code produces a maximally entangled pure state in $\mathbb{C}^{10} \otimes \mathbb{C}^{10}$:		When <tt>DIM</tt> is large, it is usually best to specify <tt>SP=1</tt> in order to save memory. For example, this code produces a maximally entangled pure state in $\mathbb{C}^{10} \otimes \mathbb{C}^{10}$:
	<~~pre~~>		<syntaxhighlight>
	>> MaxEntangled(10,1)		>> MaxEntangled(10,1)

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	(89,1) 0.3162		(89,1) 0.3162
	(100,1) 0.3162		(100,1) 0.3162
	</~~pre~~>		</syntaxhighlight>

			{{SourceCode\|name=MaxEntangled}}

Nathaniel: /* In larger systems */

2013-12-18T19:51:28Z

In larger systems

← Older revision		Revision as of 19:51, 18 December 2013
Line 45:		Line 45:

	===In larger systems===		===In larger systems===
	When <tt>DIM</tt> is large, it is usually best to specify <tt>SP=1</tt> in order to save memory. For example, this produces a maximally entangled pure state in $\mathbb{C}^{10} \otimes \mathbb{C}^{10}$:		When <tt>DIM</tt> is large, it is usually best to specify <tt>SP=1</tt> in order to save memory. For example, this code produces a maximally entangled pure state in $\mathbb{C}^{10} \otimes \mathbb{C}^{10}$:
	<pre>		<pre>
	>> MaxEntangled(10,1)		>> MaxEntangled(10,1)

Nathaniel: Uploaded v1.01

2012-11-28T19:13:00Z

Uploaded v1.01

← Older revision		Revision as of 19:13, 28 November 2012
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	\|name=MaxEntangled		\|name=MaxEntangled
	\|desc=Produces a [[maximally entangled]] [[bipartite]] [[pure state]]		\|desc=Produces a [[maximally entangled]] [[bipartite]] [[pure state]]
	\|req=[[opt_args]]		\|req=[[iden]]<br />[[opt_args]]
	\|rel=[[BellState]]		\|rel=[[BellState]]
	\|upd=November 2, 2012		\|upd=November 28, 2012
	\|v=1.00}}		\|v=1.01}}
	<tt>'''MaxEntangled'''</tt> is a [[List of functions\|function]] that returns the canonical [[maximally entangled]] [[bipartite]] [[pure state]]. The state can be chosen to be either full or sparse.		<tt>'''MaxEntangled'''</tt> is a [[List of functions\|function]] that returns the canonical [[maximally entangled]] [[bipartite]] [[pure state]]. The state can be chosen to be either full or sparse.

Nathaniel: Created page with "{{Function |name=MaxEntangled |desc=Produces a maximally entangled bipartite pure state |req=opt_args |rel=BellState |upd=November 2, 2012 |v=1.00}} `''..."`

2012-11-23T20:07:02Z Created page with "{{Function |name=MaxEntangled |desc=Produces a maximally entangled bipartite pure state |req=opt_args |rel=BellState |upd=November 2, 2012 |v=1.00}} <tt>''..." New page {{Function |name=MaxEntangled |desc=Produces a [[maximally entangled]] [[bipartite]] [[pure state]] |req=[[opt_args]] |rel=[[BellState]] |upd=November 2, 2012 |v=1.00}} <tt>'''MaxEntangled'''</tt> is a [[List of functions|function]] that returns the canonical [[maximally entangled]] [[bipartite]] [[pure state]]. The state can be chosen to be either full or sparse. ==Syntax== * <tt>PSI = MaxEntangled(DIM)</tt> * <tt>PSI = MaxEntangled(DIM,SP)</tt> * <tt>PSI = MaxEntangled(DIM,SP,NRML)</tt> ==Argument descriptions== * <tt>DIM</tt>: The dimension of the local subsystems on which <tt>PSI</tt> lives. * <tt>SP</tt> (optional, default 0): A flag (either 1 or 0) indicating that <tt>PSI</tt> should or should not be sparse. * <tt>NRML</tt> (optional, default 1): A flag (either 1 or 0) indicating that <tt>PSI</tt> should or should not be scaled to have Euclidean norm 1. If <tt>NRML=0</tt> then <tt>PSI</tt> has Euclidean norm <tt>sqrt(DIM)</tt> and every element of <tt>PSI</tt> is 0 or 1. ==Examples== ===A maximally entangled qubit state=== To generate a maximally entangled pair of qubits you can use the following line of code: <pre> >> MaxEntangled(2) ans = 0.7071 0 0 0.7071 </pre> If you want an unnormalized version of this state in which each entry of the vector is 0 or 1, specify <tt>NRML=0</tt>: <pre> >> MaxEntangled(2,0,0) ans = 1 0 0 1 </pre> ===In larger systems=== When <tt>DIM</tt> is large, it is usually best to specify <tt>SP=1</tt> in order to save memory. For example, this produces a maximally entangled pure state in $\mathbb{C}^{10} \otimes \mathbb{C}^{10}$: <pre> >> MaxEntangled(10,1) ans = (1,1) 0.3162 (12,1) 0.3162 (23,1) 0.3162 (34,1) 0.3162 (45,1) 0.3162 (56,1) 0.3162 (67,1) 0.3162 (78,1) 0.3162 (89,1) 0.3162 (100,1) 0.3162 </pre>

MaxEntangled - Revision history

Nathaniel at 20:01, 6 November 2014

Nathaniel at 15:09, 29 September 2014

Nathaniel: /* In larger systems */

Nathaniel: Uploaded v1.01

Nathaniel: Created page with "{{Function |name=MaxEntangled |desc=Produces a maximally entangled bipartite pure state |req=opt_args |rel=BellState |upd=November 2, 2012 |v=1.00}} ''..."

Nathaniel: Created page with "{{Function |name=MaxEntangled |desc=Produces a maximally entangled bipartite pure state |req=opt_args |rel=BellState |upd=November 2, 2012 |v=1.00}} `''..."`