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 -