Model Checking for Communicating Quantum Processes

by Timothy Davidson, Simon J. Gay, Hynek Mlnarík, Rajagopal Nagarajan, Nikolaos Papanikolaou
Abstract:
Quantum communication is a rapidly growing area of research and development. Quantum cryptography has already been implemented for secure communication, and commercial solutions are available. The application of formal methods to classical computing and communication systems has been very successful, and is widely used by industry. We expect similar benefits for the verification of quantum systems. Communicating Quantum Processes (CQP) is a process calculus based on the ?-calculus with the inclusion of primitives for quantum information. Process calculi provide an algebraic approach to system specification and behavioural analysis. The Quantum Model Checker (QMC) is a tool for the automated verification of system correctness. Through an exhaustive search of the possible executions, QMC can check that correctness properties expressed using temporal logic formulae are satisfied. In this paper we describe our approach to the verification of quantum systems using a combination of process calculus and model checking. We also define a formal translation from CQP to the modelling language used by QMC and prove that this preserves the semantics of all supported CQP processes.
Reference:
Model Checking for Communicating Quantum Processes (Timothy Davidson, Simon J. Gay, Hynek Mlnarík, Rajagopal Nagarajan, Nikolaos Papanikolaou), In International Journal of Unconventional Computing, Old City Publishing, Inc., volume 8, 2012.
Bibtex Entry:
@ARTICLE{Davidson2012,
  author = {Timothy Davidson and Simon J. Gay and Hynek Mlnar'ik and Rajagopal
	Nagarajan and Nikolaos Papanikolaou},
  title = {Model Checking for Communicating Quantum Processes},
  journal = {International Journal of Unconventional Computing},
  year = {2012},
  volume = {8},
  pages = {73--98},
  number = {1},
  abstract = {Quantum communication is a rapidly growing area of research and development.
	Quantum cryptography has already been implemented for secure communication,
	and commercial solutions are available. The application of formal
	methods to classical computing and communication systems has been
	very successful, and is widely used by industry. We expect similar
	benefits for the verification of quantum systems. Communicating Quantum
	Processes (CQP) is a process calculus based on the ?-calculus with
	the inclusion of primitives for quantum information. Process calculi
	provide an algebraic approach to system specification and behavioural
	analysis. The Quantum Model Checker (QMC) is a tool for the automated
	verification of system correctness. Through an exhaustive search
	of the possible executions, QMC can check that correctness properties
	expressed using temporal logic formulae are satisfied. In this paper
	we describe our approach to the verification of quantum systems using
	a combination of process calculus and model checking. We also define
	a formal translation from CQP to the modelling language used by QMC
	and prove that this preserves the semantics of all supported CQP
	processes.},
  keywords = {quantum computing, quantum communication, process calculus, model-checking,
	translation, semantics},
  owner = {Nick},
  publisher = {Old City Publishing, Inc.},
  timestamp = {2012.02.23},
  url = {../files/qmc_translation.pdf}
}