QuantumMob/ Q3mini

(4.0.4) current version: 4.0.9 »

The mini version of Q3, a symbolic quantum simulation framework on quantum systems

Contributed by: Mahn-Soo Choi

Q3 is a symbolic quantum simulation framework written in Wolfram Language to help study quantum information systems, quantum many-body systems, and quantum spin systems; hence the name Q3. It provides various tools and utilities for symbolic and numerical calculations on these representative quantum systems.

This package is the mini version of Q3, including a minimal documentation set; but not including the code. To use the Q3 functionality and read all documents, you need to install Q3 from the GitHub repository.

N.B.: This Wolfram Language Paclet Repository seems to be only for small packages. As for the full Q3 package, it is technically challenging to publish it here because the submission process takes so long and, at the very end, is disrupted with the dull error message "ResourceSubmi::apierr Unknown error".

Installation Instructions

To install this paclet in your Wolfram Language environment, evaluate this code:
PacletInstall["QuantumMob/Q3mini"]

To load the code after installation, evaluate this code:
Needs["QuantumMob`Q3mini`"]

Details

With Q3, one can avoid many of the tedious calculations involved in various principles and theorems of quantum theory. Furthermore, numerous visualization and simulation tools can help deepen the understanding of core concepts.

Q3 was publically released in 2020.

Paclet Guide

Q3 is a symbolic quantum simulation framework written in the

Wolfram Language

to help study

quantum information systems

,

quantum many-body systems

, and

quantum spin systems

. It provides various tools and utilities for symbolic calculations and numerical simulations on these representative quantum systems.

Quantum Information Systems »

— Object representing quantum bits (qubits)

— Dirac's Ket notation for a quantum state

— Dirac's Bra notation for a quantum state in the dual space

— Constructs the standard basis

— Converts to the matrix representation of an operator expression

— Convert a matrix or vector representation into an operator or state-vector expression.

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Quantum Many-Body Systems »

— Represents the Boson operators

— Represents the Fermion operators

— Represents the canonical operators

— Represents the Majorana Fermion operators

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Quantum Spin Systems »

— Represents a quantum spin (any angular momentum in general)

— Rotation operator in the spin space.

— Euler rotation in the spin space.

— Addition of angular momenta

— Addition of angular momenta preserving only the z component

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WignerDistributionW

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WignerDistributionC

Foundation of Q3

— Declares Species

— An operator or tensor quantity

— An operator or tensor quantity that is definitely non-commutative.

— Q3 implementation of

NonCommutativeMultiply

.

— Exponential function of operators (or non-commutative

).

— Constructs the standard basis

— Converts to the matrix representation of an operator expression

— Convert a matrix or vector representation into an operator or state-vector expression.

— Q3 implementation of

referring to

(but not

)

— Hermitian conjugate.

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Examples

Basic Examples (1)

To install this package from the GitHub repository (recommended), evaluate this code:

In[1]:=

Module[
{ps},
ps = PacletSiteRegister[
"https://github.com/quantum-mob/PacletRepository/raw/main", "Quantum Mob Paclet Repository"
];
PacletSiteUpdate[ps];
PacletInstall["QuantumMob/Q3"]
]

Out[1]=

Scope

In[2]:=

In[3]:=

Out[3]=

In[4]:=

Out[4]=

In[5]:=

Out[5]=

Publisher

Disclosures

Wolfram Language built-in symbols
Paclet dependencies
Learn More »

Compatibility

Wolfram Language Version 13.1

Version History

License Information

GNU General Public License v3.0 only

Paclet Source