# Communicating quantum processes

@inproceedings{Gay2004CommunicatingQP, title={Communicating quantum processes}, author={Simon J. Gay and Rajagopal Nagarajan}, booktitle={ACM-SIGACT Symposium on Principles of Programming Languages}, year={2004} }

We define a language CQP (Communicating Quantum Processes) for modelling systems which combine quantum and classical communication and computation. CQP combines the communication primitives of the pi-calculus with primitives for measurement and transformation of quantum state; in particular, quantum bits (qubits) can be transmitted from process to process along communication channels. CQP has a static type system which classifies channels, distinguishes between quantum and classical data, and…

## 131 Citations

### Probabilistic bisimulations for quantum processes

- Computer ScienceInf. Comput.
- 2007

### Probabilistic bisimilarities between quantum processes

- Computer Science, PhysicsArXiv
- 2006

This work proposes a model qCCS which is a natural quantum extension of classical value-passing CCS with the input and output of quantum states, and unitary transformations and measurements on quantum systems.

### A probabilistic branching bisimulation for quantum processes

- Computer ScienceArXiv
- 2005

Inspired by classical process algebras, a process algebraic notation is defined, which provides a homogeneous style to formal descriptions of concurrent and distributed computations comprising both quantum and classical parts.

### Equational Reasoning About Quantum Protocols

- Computer Science, PhysicsRC
- 2015

This work adds three new equational axioms to the existing equational theory of CQP, which helps to analyse various quantum protocols by proving that the implementation and specification are equivalent.

### Model checking quantum protocols

- Computer Science
- 2009

This thesis describes model checking techniques for protocols arising in quantum information theory and quantum cryptography, and details the syntax, semantics and type system of QMC’s modelling language, the logic QCTL which is used for verification, and the verification algorithms that have been implemented in the tool.

### Model Checking for Communicating Quantum Processes

- Computer ScienceInt. J. Unconv. Comput.
- 2012

The approach to the verification of quantum systems using a combination of process calculus and model checking is described and a formal translation from CQP to the modelling language used by QMC is defined and it is proved that this preserves the semantics of all supported CZP processes.

### Semantics and simulation of communication in quantum programming

- Computer ScienceArXiv
- 2005

CQPL possesses a denotational semantics based on a partial order of superoperators and uses fixed points on a generalised Hilbert space to formalise the exchange of classical and quantum data between an arbitrary number of participants.

### Bisimulation for Quantum Processes

- Computer ScienceTOPL
- 2012

Novel notions of strong bisimulation and weak bisimulations for quantum processes are introduced and it is proved that they are congruent with respect to various process algebra combinators including parallel composition even when both classical and quantum communication are present.

### Theory and applications of quantum process calculus

- Computer Science, Physics
- 2015

The equational theory of CQP is extended and an additional three new axioms are defined in order to analyse quantum protocols comprising quantum secret-sharing, quantum error correction, remote-CNOT and superdense coding to model and analyse quantum information processing (QIP) systems.

### An Axiomatization for Quantum Processes to Unifying Quantum and Classical Computing

- PhysicsInternational Journal of Theoretical Physics
- 2019

An axiomatization for quantum processes called qACP is designed, which involves not only quantum information, but also classical information and unifies quantum computing and classical computing.

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