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Quantum Computing

Questions tagged [tensor-networks]

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A tensor network is simply a countable collection of tensors connected by contractions. ‘Tensor network methods’ is the term given to the entire collection of associated tools, which are regularly employed in modern quantum information science, condensed matter physics, mathematics and computer science. (arXiv:1708.00006)

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21views

I’m looking for effective ways to draw Random Tensor Networks and trace diagrams that show tensor contractions and Haar averages clearly. The goal is to generate clean, editable visuals where tensors ...
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I am trying to run a trotter simulation with Jordan Wigner mapping involving 100+ qubits. To be able to run these many qubits, I am using the AerSimulator with ...
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2answers
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I'm having trouble running QAOA on real IBM backends. I want to solve an optimization problem using QAOA with around 100 or more logical qubits on ibm_kingston, to see how far current devices can be ...
1vote
0answers
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Given a state $|\psi\rangle$ on a Hilbert Space $\mathcal{H}=V\otimes \ldots\otimes V$.Is there any criterion that one can check whether it can be written exactly as an Matrix Product State (MPS) ...
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I am setting up some circuit simulation in qiskit_aer using the MPS method. I am performing exact simulation (important for this task specifically). I am using the following setup:...
Philipp's user avatar
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1answer
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Sorry if this question is a bit too generic or basic, but my background lies only in mathematics and computer science. I am currently writing my thesis on the topic of simulating quantum computing ...
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1answer
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I've been reading the following lecture notes in which two isomorphisms are defined:vectorization: $\text{vec}:B(H_A,H_B)\to H_A\otimes H_B$ andthe Choi-Jamiołkowski isomorphism: $C:B(B(H_A), B(H_B ...
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I decided to write my own matrix product state (MPS)-based quantum circuit simulator. I've got my head all wrapped around the usual things for this like gate application and how Schmidt decomposition ...
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I am using Qiskit, where if I go beyond 32 qubits, the output does not get counted.The code is not supported by the stabilizer back-end. I want to use up to 100+ qubits for my task. I got RAM 42 GB ...
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1answer
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A pure quantum state $$\tag{1}|\Psi\rangle=\sum_{j_1,\ldots,j_N=1}^{d}\psi_{j_1j_2\ldots j_N} |j_1, \dots, j_N\rangle\,,$$ can be represented exactly in the MPS form\begin{equation}\tag{2} |\Psi\...
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I am going through a review on Tensor Networks and came across these statements: .This was a bit quick for me.I understand an injective MPS as one in which viewing $A$ as a map from auxiliary space ...
nervxxx's user avatar
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1answer
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I would like to do a Trotterized time-evolution with Tensorcircuit of a spin-Hamiltonian and started with the examplehttps://github.com/tencent-quantum-lab/tensorcircuit/blob/master/examples/...
1vote
3answers
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I'm looking for a Python library that can help me simulating quantum circuit using Tensor Networks. In particular I would like to write a quantum circuit using the constiuent quantum gates and then ...
stopper's user avatar
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2answers
771views

I need to perform tensor network contraction on a maxcut circuit, are there any resources or code available which converts maxcut circuit into a tensor network (preferably the adjacency list or any ...
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1answer
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If I use the matrix product state method in Qiskit to simulate quantum circuits, I can obtain the exepctation value of an observable by using a finite amount of shots. Is there a way to obtain the ...

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