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Wolfram`QuantumFramework`

QuantumDistance

	QuantumDistance[ qs 1 , qs 2 ] returns the distance between the quantum discrete states qs 1 and qs 2 , defined as 1 minus the fidelity.
	QuantumDistance[ qs 1 , qs 2 ,t] returns the distance between two quantum discrete states using measure t .

Details



Examples

(7)

Basic Examples

(4)

Find the distance between two pure states in terms of (1-fidelity):

In[2]:=

QuantumDistance



QuantumState

[{1,0}],

QuantumState

[{0,1}]

Out[2]=

0

———

Find the distance between two mixed states:

In[1]:=

QuantumDistance



QuantumState

[{{1/4,0},{0,3/4}}],

QuantumState

[{{1,0},{0,1}}]

Out[1]=

2

1

2

+

3

2

———

Find the distance between a pure state and a mixed state:

In[1]:=

QuantumDistance



QuantumState

[{{1/4,0},{0,3/4}}],

QuantumState

[{1,0}]

Out[1]=

1

4

———

Find the distance between two quantum states using the trace metric:

In[1]:=

QuantumDistance



QuantumState

[{{1/4,1},{1,3/4}}],

QuantumState

[{{1/2,2},{2,1/2}}],"Trace"

Out[1]=

17

4

Scope

(2)



Applications

(1)



SeeAlso

QuantumState