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QuantumPlaybook

Guides

  • QuantumPlaybook

Tech Notes

  • Addition of Numbers
  • Baker-Hausdorff Lemma
  • Chiral Fermion Random Circuit
  • Clifford Operators: How to Test
  • Commutation Relations for Qubits
  • Entanglement Distillation
  • Generalized Pauli Operators: Implementation
  • Hatano-Nelson-Kitaev Model: Monte Carlo Simulation
  • Hatano-Nelson Model: Monte Carlo Simulation
  • Kitaev Chain
  • Kitaev Random Circuit
  • Λ-Matter in a Cavity
  • Measurement of Total Pauli Z
  • Non-Unitary Dynamics of Quantum States
  • Partial Trace: Physical Meaning
  • Quantum Dot Systems
  • A Quantum Playbook
  • Magnetic Exchange Coupling
  • Solovay-Kitaev Algorithm
  • Spin Code
  • Symmetry Effects On Quantum Master Equations
  • Transmon: Quantum Phase Model
  • Transposition as a Supermap
  • Variational Quantum Classifier: Iris
  • Variational Quantum Classifier: Parity
  • Variational Quantum Eigensolver: Transverse-Field Ising Model

Symbols

  • BlochEnergy
  • BlochFunction
  • QuantumPlaybookCheckUpdate
  • QuantumPlaybookEdition
  • QuantumPlaybookUpdate
  • TransmonEnergy
  • TransmonExponent
  • TransmonFunction
  • TransmonHamiltonian
QuantumMob`Transmon`
TransmonExponent
​
TransmonExponent
[n,
n
g
]
returns the Mathieu characteristic exponent of the
th
n
excited state of the transmon Hamiltonian for dimensionless gate charge
n
g
, with
n=0
referring to the ground state.
​
Details and Options

Examples  
(1)
Basic Examples  
(1)
In[1]:=
Table
TransmonExponent
[n,1/2],{n,0,5}
Out[1]=

1
2
,
1
2
,
3
2
,
3
2
,
5
2
,
5
2

In[2]:=
Table
TransmonExponent
[n,0.25],{n,0,5}
Out[2]=
{-0.25,0.75,-1.25,1.75,-2.25,2.75}
In[3]:=
Table
TransmonExponent
[n,1.25],{n,0,5}
Out[3]=
{-0.25,0.75,-1.25,1.75,-2.25,2.75}
In[4]:=
PlotTable
TransmonExponent
[0,ng],{n,0,5},{ng,-2,2},​​FrameLabel{"
n
g
","ν"}
Out[4]=
In[5]:=
PlotTable
TransmonExponent
[1,ng],{n,0,5},{ng,-2,2},​​FrameLabel{"
n
g
","ν"}
Out[5]=
In[6]:=
Table
TransmonExponent
[n,0],{n,0,5}
Out[6]=
{0,1,1,2,2,3}
In[7]:=
Table
TransmonExponent
[n,0.00001],{n,0,5}//Round
Out[7]=
{0,1,-1,2,-2,3}
SeeAlso
TransmonEnergy
 
▪
TransmonFunction
TechNotes
▪
Transmon: Quantum Phase Model
▪
Quantum Information Systems with Q3
▪
Quantum Many-Body Systems with Q3
▪
Quantum Spin Systems with Q3
RelatedGuides
▪
Quantum Information Systems
▪
Quantum Many-Body Systems
▪
Quantum Spin Systems
""

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