Results 11 to 20 of about 1,144,070 (196)
Some self-adjoint quantum semimartingales [PDF]
, 2006 It is proved that the quantum stochastic gauge integral preserves self-adjointness of vacuum-adapted processes. This fact, together with bounded perturbations and the link between the Hudson–Parthasarathy calculus and vacuum-adapted theory, is used to ...
Belton, Alexander C. R.
core +4 more sources
A quantum stochastic Lie-Trotter product formula. [PDF]
, 2010 A Trotter product formula is established for unitary quantum stochastic processes governed by quantum stochastic differential equations with constant bounded ...
Sinha, Kalyan B., Lindsay, J. Martin
core +6 more sources
Sesquilinear quantum stochastic analysis in Banach space [PDF]
, 2014 A theory of quantum stochastic processes in Banach space is initiated. The processes considered here consist of Banach space valued sesquilinear maps.
Lindsay, Martin +2 more
core +4 more sources
Reducing 2-QuBit Gate Count for ZX-Calculus based Quantum Circuit Optimization
Electronic Proceedings in Theoretical Computer Science, 2023 In the near term, programming quantum computers will remain severely limited by low quantum volumes. Therefore, it is desirable to implement quantum circuits with the fewest resources possible. For the common Clifford+T circuits, most research is focused
Staudacher, Korbinian +3 more
doaj +1 more source
Making the stabilizer ZX-calculus complete for scalars [PDF]
Electronic Proceedings in Theoretical Computer Science, 2015 The ZX-calculus is a graphical language for quantum processes with built-in rewrite rules. The rewrite rules allow equalities to be derived entirely graphically, leading to the question of completeness: can any equality that is derivable using matrices ...
Miriam Backens
doaj +1 more source
A certain ( p , q ) $(p,q)$ -derivative operator and associated divided differences
Journal of Inequalities and Applications, 2016 Recently, Sofonea (Gen. Math. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator D q $D_{q}$ and divided difference. As applications of the post-quantum calculus known as the ( p , q ) $(
Serkan Araci +3 more
doaj +1 more source
Verification of Linear Optical Quantum Computing using Quantum Process Calculus [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 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 ...
Sonja Franke-Arnold +2 more
doaj +1 more source
Ostrowski Type Inequalities for s-Convex Functions via q-Integrals
Journal of Function Spaces, 2022 The new outcomes of the present paper are q-analogues (q stands for quantum calculus) of Hermite-Hadamard type inequality, Montgomery identity, and Ostrowski type inequalities for s-convex mappings.
Khuram Ali Khan +4 more
doaj +1 more source
Communicating quantum processes [PDF]
, 2005 We define a language CQP (Communicating Quantum Processes) for modelling systems which combine quantum and classical communication and computation.
Simon J. Gay +5 more
core +1 more source
Towards a Minimal Stabilizer ZX-calculus [PDF]
Logical Methods in Computer Science, 2020 The stabilizer ZX-calculus is a rigorous graphical language for reasoning about quantum mechanics. The language is sound and complete: one can transform a stabilizer ZX-diagram into another one using the graphical rewrite rules if and only if these two ...
Miriam Backens +2 more
doaj +1 more source