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Automated Verification of Equivalence on Quantum Cryptographic Protocols
"... It is recognized that security verification of cryptographic protocols tends to be difficult and in fact, some flaws on protocol designs or security proofs were found after they had been presented. The use of formal methods is a way to deal with such complexity. Especially, process calculi are suita ..."
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software tool to automatically verify bisimulation relation in a quantum process calculus qCCS and applied it to Shor and Preskill’s security proof of BB84. The tool succeeds to verify the equivalence of BB84 and an EDPbased protocol, which are discussed in their proof. 1
Quantum Stochastic Calculus and Quantum Nonlinear Filtering
 J.Multivariate Analysis
, 1992
"... Abstract. A ⋆–algebraic indefinite structure of quantum stochastic (QS) calculus is introduced and a continuity property of generalized nonadapted QS integrals is proved under the natural integrability conditions in an infinitely dimensional nuclear space. The class of nondemolition output QS proces ..."
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Cited by 97 (20 self)
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processes in quantum open systems is characterized in terms of the QS calculus, and the problem of QS nonlinear filtering with respect to nondemolition continuous measurments is investigated. The stochastic calculus of a posteriori conditional expectations in quantum observed systems is developed and a
Sequent Calculus and Quantum Parallelism
"... In the last years, quantum computational logics have been developed in order to describe the logical setting of quantum computation [1]. An important challenge is the development of proof theoretical tools for quantum computation, so that the physical process of computation can correspond to a logic ..."
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logical process of computation. In particular, the challenge is that quantum computational speed up, due to superposition and entanglement, can find an explanation in terms of logical proofs. The object of our research is a sequent calculus developed in the framework of basic logic, that is a logical
An Algebra of Quantum Processes
"... We introduce an algebra qCCS of pure quantum processes in which communications by moving quantum states physically are allowed and computations are modeled by superoperators, but no classical data is explicitly involved. An operational semantics of qCCS is presented in terms of (nonprobabilistic) ..."
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Cited by 8 (4 self)
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We introduce an algebra qCCS of pure quantum processes in which communications by moving quantum states physically are allowed and computations are modeled by superoperators, but no classical data is explicitly involved. An operational semantics of qCCS is presented in terms of (non
Quantum Stratonovich Calculus and the Quantum WongZakai Theorem
 Journ. Math. Phys
, 2006
"... We extend the ItōtoStratonovich analysis or quantum stochastic differential equations, introduced by Gardiner and Collett for emission (creation), absorption (annihilation) processes, to include scattering (conservation) processes. Working within the framework of quantum stochastic calculus, we de ..."
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Cited by 6 (4 self)
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We extend the ItōtoStratonovich analysis or quantum stochastic differential equations, introduced by Gardiner and Collett for emission (creation), absorption (annihilation) processes, to include scattering (conservation) processes. Working within the framework of quantum stochastic calculus, we
Formal Analysis of Quantum Systems using Process Calculus∗
"... Quantum communication and cryptographic protocols are well on the way to becoming an important practical technology. Although a large amount of successful research has been done on proving their correctness, most of this work does not make use of familiar techniques from formal methods such as forma ..."
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investigation using behavioural equivalence in process calculus. This paper is a summary of Simon Gay’s invited talk at ICE’11. 1
MALLIAVIN CALCULUS AND SKOROHOD INTEGRATION FOR QUANTUM STOCHASTIC PROCESSES
, 2000
"... A derivation operator and a divergence operator are defined on the algebra of bounded operators on the symmetric Fock space over the complexification of a real Hilbert space h and it is shown that they satisfy similar properties as the derivation and divergence operator on the Wiener space over h. ..."
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Cited by 1 (0 self)
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for adapted integrable processes and with the noncausal quantum stochastic integrals defined by Lindsay and Belavkin for integrable processes.
Analysis of a Quantum Error Correcting Code using Quantum Process Calculus
"... We describe the use of quantum process calculus to describe and analyze quantum communication protocols, following the successful field of formal methods from classical computer science. The key idea is to define two systems, one modelling a protocol and one expressing a specification, and prove tha ..."
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Cited by 2 (1 self)
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We describe the use of quantum process calculus to describe and analyze quantum communication protocols, following the successful field of formal methods from classical computer science. The key idea is to define two systems, one modelling a protocol and one expressing a specification, and prove
Verification of Linear Optical Quantum Computing using Quantum Process Calculus
"... 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 th ..."
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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
Results 1  10
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