Quantum theory of open systems

By M. Sentís. 2002

1,172 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/80efb5303222d8a478e1ea03adc082f78fdb7e7e

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Citations in the corpus

The Mathematical Language of Quantum Theory: From Uncertainty to Entanglement (2012, methodology): “In order to tackle the quantum case, we recall the following result of Davies [51] on extremal elements in E(H).”
Tight informationally complete quantum measurements (2006, background): “The outcome statistics of a quantum measurement are described by a positive-operator-valued measure (POVM) [2, 3, 4, 5].”
Quantum Equilibrium and the Role of Operators as Observables in Quantum Theory (2003, background): “, [21]) that every POVM is equivalent to one that arises in this way, as the orthogonal projection of a PVM to a subspace.”
The role of relative entropy in quantum information theory (2001, background): “Mathematically, the evolution of a quantum state is then most generally of the form (Davies, 1976) where, because of the conservation of probability, or, more precisely, trace preservation α A † α A α = 1.”
On quantum statistical inference (2003, background): “1 Key references on instruments and complete positivity are Stinespring (1955), Davies and Lewis (1970), Davies (1976), Kraus (1983), Ozawa (1985), Loubenets (1999, 2000), and Holevo (2001c).”
Fundamentals of quantum information theory (2002, background): “Following Davies [50] we will call such an object an instrument.”
Theoretical framework for quantum networks (2009, background): “In the last decade the general description of quantum states, measurements, and transformations in terms of density matrices, POVMs, and channels [1, 2, 3], has been widely exploited in quantum information, with many applications in high-precision measurements, quantum cryptography, optimal cloning,”
Bluff Your Way in the Second Law of Thermodynamics (2000, background): “The caloric theory employed by Carnot, which violates the first law, is a manifest counterexample for this claim. efficiency of such a cycle be µ(θ)dθ where µ(θ) := ∂C(θ, θ2) ∂θ2 ∣ ∣ ∣ ∣ θ2=θ .”
Theory of open quantum systems (2002, methodology): “In the range of above mentioned textbooks my exposition is in between mathematically oriented books of Davies [8], Holevo [12], Attal et.”
Quantum non-Markovianity: characterization, quantification and detection (2014, background): “(32) [25, 39–41], it is well-known that the exact dynamics of an open quantum system is essentially non-Markovian [22, 24, 26, 42].”
Stochastic Convolutions Driven by Martingales: Maximal Inequalities and Exponential Integrability (2007, unknown): “1, or [12], §7.”
Strong converse for identification via quantum channels (2000, background): “Then for all x Tr(W̃xD) = ∑ y∈Y δ(y)W (y|x), 1See Davies [7] for the mathematics to describe quantum systems. which implies that every quantum observation, i.e. a pos- itive operator valued measure (POVM), of the states W̃x can be simulated by a classical randomized decision rule on Y.”
A Note on Maximal Inequality for Stochastic Convolutions (2001, unknown): “[7], § 7.”
The uniqueness theorem for entanglement measures (2001, background): “ar X iv :q ua nt -p h/”