Share Your Experience: Take the 2024 Developer Survey

# Tag Info

Accepted

### How Mature is the Tensorflow Quantum Library

First we should take a step back. Is there any machine learning done a quantum computer that cannot be efficiently simulated on a classical computer? The answer currently (2020) is no. In this ...
• 745
Accepted

### Is Density Matrix simulation same as Tensor Network simulation?

A state vector on $n$ qubits is a $2^n$ complex number representing a system in a pure state. A density matrix on $n$ qubits is a $2^n$ by $2^n$ matrix representing a system in a mixed state. Mixed ...
• 745

### Categories and types of quantum inspired algorithms

My reply is by no means an answer to your question. However, I still would like to drop in my 2 cents. The notion of "quantum-inspired" algorithms has no formal definition and has a rather ...
• 2,646

### What are Tensor Networks and which is the relationship they have with quantum computing?

A tensor is a multi-dimensional array. A vector is a 1d tensor, a matrix is a 2d tensor, and so forth. Tensor contraction is a generalization of matrix multiplication. In matrix multiplication, you ...
• 37.5k

### What can tensor networks mean for quantum computing?

A Different Way Of Looking At Linear Algebra Tensor Networks provide a different way of looking at linear algebra particularly within the context of tensor space systems. Quantum Circuits Are Just ...
• 466

### How to convert a quantum circuit into a tensor network?

Quantum circuits are effectively already a special type of tensor networks. We just need to interpret them appropriately to see this. Normally, we think of lines as representing qubits and boxes as ...
• 22.9k

### Tensor network simulation of quantum circuits with Python

In Qiskit, if you want to compute the expectation value of a given operator $\hat{O}$ using the matrix_product_state-based simulation, you can use the primitive <...
• 1,542
Accepted

### Truncating the bond dimension of an MPS -- how good is the approximation?

The answer is found in F. Verstraete and J.I. Cirac, Matrix product states represent ground states faithfully, Lemma 1 on pg. 5 in the arxiv version. It states that the total error in approximating a ...
• 6,679

### How to split a 2-local unitary operator through singular value decomposition?

If I understand what you are asking for (I don't know much about tensor networks), both equations are singular value decompositions of $U$, just with respect to different indices (and in the latter ...
• 25.3k
Accepted

### How to find the $A_i$ in the matrix product state representation?

Any state can be written as a matrix product state. There are systematic procedures to construct such a description, based on sequential SVDs, see e.g. Section 4.1.3 of this review. On the other hand, ...
• 6,679

### Plot circuit within TensorCircuit

Suppose c is the circuit object, c.tex() will return the latex string using quantikz package, and ...
• 141
Accepted

### Qualitative meaning of the bond dimension of a matrix product state

The bond dimension across any link is precisely the Schmidt rank of the state across that cut. (Or potentially larger, if you chose a not-so-smart parametrization.)
• 6,679
1 vote

1 vote

### What can tensor networks mean for quantum computing?

By treating a quantum circuit as a network model, the network model can be optimized the order of the calculation by making a contract between tensor and tensor. I think it is definitely important to ...
• 29

Only top scored, non community-wiki answers of a minimum length are eligible