Expressing the operations of quantum computing in multiparticle geometric algebra.

DOI10.1016/S0375-9601(98)00010-3zbMath1044.81531arXivquant-ph/9801002OpenAlexW2043738084MaRDI QIDQ1966621

Shyamal S. Somaroo, David G. Cory, Timothy F. Havel

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9801002

Mathematics Subject Classification ID

Quantum computation (81P68) Clifford algebras, spinors (15A66)

Related Items (10)

An approach by representation of algebras for decoherence-free subspaces ⋮ An improved formalism for quantum computation based on geometric algebra -- case study: Grover's search algorithm ⋮ Quaternion quantum neurocomputing ⋮ A Clifford algebra of signature \((n,3n)\) and the density operators of quantum information theory ⋮ A geometric algebra perspective on quantum computational gates and universality in quantum computing ⋮ Simulation of general three-body interactions in a nuclear magnetic resonance ensemble quantum computer ⋮ Hadamard products of product operators and the design of gradient-diffusion experiments for simulating decoherence by NMR spectroscopy ⋮ Quantum gates and quantum algorithms with Clifford algebra technique ⋮ Geometric analogue of holographic reduced representation ⋮ Quantum computing based on complex Clifford algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• New foundations for classical mechanics
• Computer science today. Recent trends and developments
• Quantum Computation
• Bulk Spin-Resonance Quantum Computation
• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer

This page was built for publication: Expressing the operations of quantum computing in multiparticle geometric algebra.