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Q3mini

Guides

  • Fermionic Quantum Computation
  • Q3: Symbolic Quantum Simulation
  • Quantum Information Systems
  • Quantum Many-Body Systems
  • Quantum Spin Systems

Tech Notes

  • About Q3
  • Q3: Quick Start
  • Quantum Fourier Transform
  • Quantum Information Systems with Q3
  • Quantum Many-Body Systems with Q3
  • Quantum Operations
  • Quantum Spin Systems with Q3
  • Quantum States
  • Quantum Teleportation
  • Quick Quantum Computing with Q3

Symbols

  • Basis
  • Boson
  • Bra
  • CNOT
  • ControlledGate
  • ExpressionFor
  • Fermion
  • Heisenberg
  • Ket
  • Let
  • Majorana
  • Matrix
  • Multiply
  • NambuGreen
  • NambuHermitian
  • NambuMatrix
  • NambuUnitary
  • Pauli
  • Phase
  • QuantumCircuit
  • Qubit
  • Qudit
  • RandomWickCircuitSimulate
  • Rotation
  • Species
  • Spin
  • SWAP
  • WickCircuit
  • WickEntanglementEntropy
  • WickEntropy
  • WickGreenFunction
  • WickJump
  • WickLindbladSolve
  • WickLogarithmicNegativity
  • WickMeasurement
  • WickMonitor
  • WickMutualInformation
  • WickNonunitary
  • WickSimulate
  • WickState
  • WickUnitary

Overviews

  • The Postulates of Quantum Mechanics
  • Quantum Algorithms
  • Quantum Computation: Models
  • Quantum Computation: Overview
  • Quantum Error-Correction Codes
  • Quantum Information Theory
  • Quantum Noise and Decoherence
QuantumMob`Q3mini`
WickJump
​
WickJump
[{{
v
11
,
v
12
,…},{
v
21
,
v
22
,…},…}]
represents a set of quantum jump operators
l
i
=
Σ
j
v
ij
c
j
, where
c
j
are Majorana fermion operators
c
j
.
​
​
WickJump
[{{
k
1
,
flag
1
},{
k
2
,
flag
2
},…},n]
is a shortcut referring to Dirac fermion operator
a
k
i
for
flag
i
=0
or
Dagger
[
a
k
i
]
for
flag
i
=1
.
​
​
WickJump
[{k,flag},n]
is equivalent to
WickJump
[{{k,flag}},n]
.
​
Details and Options

Examples  
(5)
Basic Examples  
(1)
In[1]:=
$n=3;
In[2]:=
SeedRandom[370];
In[3]:=
in=RandomWickState[$n]
Out[3]=
WickState
Modes: 3
Prefactor: 1

In[4]:=
jmp=RandomWickJump[$n]
Out[4]=
WickJump
Modes: 3
Operators: 3

In[5]:=
out=jmp[in]​​k=$WickMapOut
Out[5]=
WickState
Modes: 3
Prefactor: 1

Out[5]=
2
In[6]:=
pp=WickJumpOdds[jmp][in]
Out[6]=
{0.503427,0.342296,0.154277}
In[7]:=
EchoTiming[​​data=Table[jmp[in];$WickMapOut,5000];​​]
⌚
3.59255
In[8]:=
Histogram[data,​​FrameLabel{"jump index","counts"}​​]
Out[8]=
Scope  
(4)

SeeAlso
WickSimulate
 
▪
WickNonunitary
 
▪
WickMeasurement
 
▪
WickState
TechNotes
▪
Quantum Many-Body Systems with Q3
▪
Quantum Information Systems with Q3
▪
Q3: Quick Start
RelatedGuides
▪
Fermionic Quantum Computation
▪
Quantum Many-Body Systems
▪
Quantum Information Systems
▪
Q3: Symbolic Quantum Simulation
RelatedLinks
▪
S. Bravyi and R. König (2012)
, Quantum Information & Computation 12, 925 (2012), "Classical simulation of dissipative fermionic linear optics."
▪
S. Bravyi (2005)
, Quantum Information & Computation 5, 216 (2005), "Lagrangian representation for fermionic linear optics."
▪
S. Bravyi and A. Y. Kitaev (2002)
, Annals of Physics 298, 210 (2002),"Fermionic Quantum Computation."
▪
B. M. Terhal and D. P. DiVincenzo (2002)
, Physical Review A 65, 032325, "Classical simulation of
noninteracting
-fermion quantum circuits."
▪
Mahn-Soo Choi (2022)
, A Quantum Computation Workbook (Springer).
""

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