Questions tagged [quantum-computing]
Questions about simulation of quantum circuits and quantum algorithms in Mathematica.
27
questions
2
votes
1
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Solving a Lindblad differential equation in matrix form
I am trying to solve the following Lindblad equation analytically with Mathematica:
$$\frac{d\rho}{dt}=-i[H,\rho]+\sum\nolimits_{i=0}^1 K_i\rho K_i^+-\frac12\cdot\{K_i^+K_i,\rho\},$$
where
$$H=\begin{...
- 23
0
votes
0
answers
43
views
On MacOs, I cannot use Needs["QDENSITY`Qdensity`"]
I am trying to get
Needs["QDENSITY`Qdensity`"]
from (https://library.wolfram.com/infocenter/MathSource/5715/), however, it failed and I get this error:
...
- 1
1
vote
0
answers
72
views
Why must the "&" symbol be placed inside function instead of outside? [closed]
The following code is taken from Wolfram Community "Quantum Error Correction: bit flip".
...
- 481
1
vote
2
answers
127
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Number operator
Suppose CR is my creation operator and AR is my annihilation operator.
I have to show that ...
- 1,524
0
votes
0
answers
75
views
Solving a system of complex matrix equation using Reduce function
I am trying to solve a system of four matrix equations using Reduce function. The system arises in Quantum Information. The system is solvable with a solution i.e. phi, but the following code gives ...
3
votes
2
answers
178
views
Decoupling a system of four linear $1$-st order ODEs
I have a system of four $1$-st order ODEs. $$ \dot{p_1} = -2\beta^2 q_1 - \gamma p_1 + \Delta p_2 $$ $$ \dot{p_2} = -2\beta^2 q_2 - \gamma p_2 + \Delta p_1 $$ $$ \dot{q_1} = 2\alpha^2 p_1 + \gamma q_1 ...
- 132
1
vote
0
answers
82
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Gaussian Matrix Model - Large N Expansion Physics with Mathematica
Update: Attempted 2nd time by replica method
I'm trying to implement basic large N expansion in Mathematica.
I'm trying to understand what this means on the fly as well.
The model I am trying to ...
- 165
1
vote
0
answers
94
views
How to implement an entangled measurement in mathematica?
Suppose, we have two states $|\phi^+\rangle_{AB},|\phi^+\rangle_{CD}$. Now a Bell basis measurement is performed on the qubits BC. How to code in Mathematica to find out the post-measurement state on ...
4
votes
2
answers
214
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How to generate all permutation matrices for 4 qubits?
In quantum mechanics, a qubit can be understood as a 2 by 1 vector denoted by Dirac notation as $$|0\rangle \equiv \left( \begin{array}{c}
1\\
0\\
\end{array} \right) ,|1\rangle \equiv \left( \...
- 261
1
vote
0
answers
128
views
Wolfram Quantum Framework Shows Mixed States as Kets
Wolfram Quantum Framework consistently shows the state["Formula"] for mixed states, defined via some density matrix, in terms of simply kets! Is it ...
- 203
6
votes
1
answer
136
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Minimizing computational time for a quantum walk problem
Any suggestions as to how to speed up the computational time for this quantum walk problem which is coded using a normalized SparseArray coin operator as follows:
...
- 3,198
3
votes
1
answer
139
views
Schmidt Measure of a Graph State
Based on the definition of the Schmidt measure in this work https://www.arxiv-vanity.com/papers/quant-ph/0307130/, the following code was set up, but appears to
generate errors. Is there a better way ...
- 3,198
1
vote
2
answers
73
views
Defining and executing large matrix operators on vectors efficiently
For an $N$-qubit system, I am interested in coding, in an efficient way, the following set of Kraus operators $\{A_c\}_c$ defined in the computational basis as
\begin{align}
\hat{A}_c := \sum_{m=...
- 295
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votes
0
answers
31
views
Resetting rules for non comutative multiply
Im currently working on a project that intends to achieve multiple task the first if which rewrite a bra-ket notated triplet tensor product state such as the w state in terms of the pauli matrices.
i,...
- 11
2
votes
1
answer
73
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Confusion in Eigenvalue and eigenfunction distribution using NDEigensystem [duplicate]
I have been using NDEigensystem to solve the Schrodinger equation for different potentials. However, whenever the potential has its minimum in the negative y-axis, ...
- 1,524
2
votes
0
answers
35
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Simulation of Quantum pseudo-telepathy
I would like to mathematically simulate Quantum pseudo-telepathy on The magic square game from Wikipedia.
In section Pseudo-telepathic strategies we can read:
The trick is for Alice and Bob to share ...
- 9,693
2
votes
1
answer
271
views
Decomposing Hamiltonian in terms of Pauli strings
Does anyone know of a native Mathematica function or a package that allows one to decompose an arbitrary Hamiltonian into Pauli strings? There are a few packages for Python that do this (e.g., one ...
2
votes
1
answer
156
views
How to find complete QuantumOperator() Matrix
I am defining a quantum operator as
X1 = QuantumOperator["PauliX", {3}]
This operator is expected to act on qubit 3 and so supposed to be 8x8 matrix.
But ...
- 23
1
vote
0
answers
215
views
How to define momentum operator for use with creation and annihilation operators in quantum mechanics
I am having trouble writing the momentum operator in the differential form to complete a piece of code shown here so that I can show a commutator [P,Q] = I .
Here is what I have done so far, and I ...
- 165
2
votes
0
answers
58
views
QuantumFramework: Error message when calculating a CircuitOperator
I am running the following package and code:
...
- 221
-4
votes
1
answer
105
views
Constructing NxN tridiagonal block diagonal matrix with N is a variable [closed]
Hi please can someone help me writing a program of generating a tridiagonal block matrix with dimension of NxN where N is a variable can be 50, 100, 200, 300...etc , Well I don't know how I'm a ...
- 117
3
votes
1
answer
147
views
Calculating power series of quantum operators on kets
I am using the "Quantum" add-on package to perform some quantum mechanical calculations using SU(1,1) generators. The code that I've developed reads
...
- 801
0
votes
1
answer
42
views
How to export integration values to a data file? [closed]
I'm calculating quantum mechanical expectation value for a very high order truncation value. But due to low ram, it gets hung each time. So I am trying to write those data to a .dat file into the HDD ...
- 1,524
2
votes
0
answers
168
views
Defining a non-commutative algebra
I'm new to Mathematica, and I'm trying to learn the ropes.
I'm trying to write a little boson algebra engine, with basic useful functions such as non-commutative algebra, normal-ordering and vacuum ...
- 21
9
votes
1
answer
932
views
Where is the QuantumComputing package?
Where is the QuantumComputing package?
https://m.youtube.com/watch?v=wHnfWuS0C08
- 9,486
11
votes
3
answers
3k
views
Is there a way to do Quantum Computing in Mathematica notebook?
I saw 2 efforts in that direction: WSS17 and WSS16, but I am not sure if there is something in the latest Mathematica that actually allows users to simulate quantum gates.
Can anyone please point me ...
- 569
13
votes
1
answer
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views
How to draw quantum circuit with mathematica?
How to draw quantum circuit as the following one with mathematica?
I only find the quantum package which is designed for MMA 7.0 as the author said.
But the version of my Mathematica is 9.0 and when ...
- 1,145