TY - GEN

T1 - Verification of Linear Optical Quantum Computing using Quantum Process Calculus

AU - Franke-Arnold, Sonja

AU - Gay, Simon J.

AU - Puthoor, Ittop

PY - 2014

Y1 - 2014

N2 - We explain the use of quantum process calculus to describe and analyse linear optical quantum computing (LOQC). The main idea is to define two processes, one modelling a linear optical system and the other expressing a specification, and prove that they are behaviourally equivalent. We extend the theory of behavioural equivalence in the process calculus Communicating Quantum Processes (CQP) to include multiple particles (namely photons) as information carriers, described by Fock states or number states. We summarise the theory in this paper, including the crucial result that equivalence is a congruence, meaning that it is preserved by embedding in any context. In previous work, we have used quantum process calculus to model LOQC but without verifying models against specifications. In this paper, for the first time, we are able to carry out verification. We illustrate this approach by describing and verifying two models of an LOQC CNOT gate.

AB - We explain the use of quantum process calculus to describe and analyse linear optical quantum computing (LOQC). The main idea is to define two processes, one modelling a linear optical system and the other expressing a specification, and prove that they are behaviourally equivalent. We extend the theory of behavioural equivalence in the process calculus Communicating Quantum Processes (CQP) to include multiple particles (namely photons) as information carriers, described by Fock states or number states. We summarise the theory in this paper, including the crucial result that equivalence is a congruence, meaning that it is preserved by embedding in any context. In previous work, we have used quantum process calculus to model LOQC but without verifying models against specifications. In this paper, for the first time, we are able to carry out verification. We illustrate this approach by describing and verifying two models of an LOQC CNOT gate.

U2 - 10.4204/EPTCS.160.10

DO - 10.4204/EPTCS.160.10

M3 - Conference contribution

VL - 160

T3 - Electronic Proceedings in Theoretical Computer Science

SP - 111

EP - 129

BT - Proceedings of Combined 21st International Workshop on Expressiveness in Concurrency and 11th Workshop on Structural Operational Semantics

A2 - Borgström, Johannes

A2 - Crafa, Silvia

ER -