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Scalable quantum circuits for n-qubit unitary matrices

2023/04/27 by Rohit Sarma Sarkar, Sarkar, Rohit Sarma, Bibhas Adhikari +1
Computer Science · #Quantum Computing Algorithms and Architecture #Quantum-Dot Cellular Automata #Quantum Information and Cryptography

paper · pdf · doi:10.48550/arxiv.2304.14096

Abstract

This work presents an optimization-based scalable quantum neural network framework for approximating n-qubit unitaries through generic parametric representation of unitaries, which are obtained as product of exponential of basis elements of a new basis that we propose as an alternative to Pauli string basis. We call this basis as the Standard Recursive Block Basis, which is constructed using a recursive method, and its elements are permutation-similar to block Hermitian unitary matrices.

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