Work

Metric Structure of the Space of Two-Qubit Gates, Perfect Entanglers and Quantum Control

Year: 2013

Type: article

Abstract: We derive expressions for the invariant length element and measure for the simple compact Lie group SU(4) in a coordinate system particularly suitable for treating entanglement in quantum information processing. Using this metric, we compute the invariant volume of the space of two-qubit perfect entanglers. We find that this volume corresponds to more than 84% of the total invariant volume of the space of two-qubit gates. This same metric is also used to determine the effective target sizes that selected gates will present in any quantum-control procedure designed to implement them.

Source: Entropy

DOI: 10.3390/e15061963

Authors: Paul Watts, Maurice O'Connor, Jiří Vala

Institutions: Dublin Institute For Advanced Studies, National University of Ireland, Maynooth

Language: English

Topic: Quantum Information and Cryptography

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Science Foundation Ireland