Work

Qubits as hypermatrices and entanglement

Year: 2024

Type: article

Abstract: In this paper, we represent n-qubits as hypermatrices and consider various applications to quantum entanglement. In particular, we use the higher-order singular value decomposition of hypermatrices to prove that the π-transpose is an LU invariant. Additionally, through our construction we show that the matrix representation of the combinatorial hyperdeterminant of 2n-qubits can be expressed as a product of the second Pauli matrix, allowing us to derive a formula for the combinatorial hyperdeterminant of 2n-qubits in terms of the n-tangle.

Source: Physica Scripta

DOI: 10.1088/1402-4896/ad3989

Authors: Isaac Dobes, Naihuan Jing

Institution: North Carolina State University

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,285

Funder: Simons Foundation