Quantum optics in phase space

By W. Schleich. 2001

856 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/ce391a7594e68f7df8b5232f14a4081d90c8211d

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Citations in the corpus

Continuous‐Variable Quantum Key Distribution with Gaussian Modulation—The Theory of Practical Implementations (2017, unknown): “ commutator [^q;p^], the photon number operator ^nand minimal uncertainty product q^ p^. A direct comparison of shot-noise units [67] (SNU, used in this paper), natural units [82] (NU) and SI-units [83] can be found in Table F.1. SNU NU SI ^a = 1 2 (^q+ i^p) p 2 (^q+ ip^) p1 2~! (!^q+ ip^) ^ay= 1 2 ”
Schur–Weyl Duality for the Clifford Group with Applications: Property Testing, a Robust Hudson Theorem, and de Finetti Representations (2017, methodology): “ure of nite-dimensional quantum mechanics developed in [Woo87, App05, Gro06, GE08, DB13], which is analogous to the phase space formalism for continuous-variable systems used, e.g., in quantum optics [Sch11]. For x = (p;q) 2Z2n, dene the corresponding Weyl operator W x = W p;q = ˝ pqZp 1 1 Z pn nX q”
Quantum-enhanced measurements without entanglement (2017, background): “In fact, already a single Fock state |n〉 is highly nonclassical, as is witnessed by its highly oscillatory Wigner function (Schleich, 2001) with substantial negative parts.”
Quantum physics of simple optical instruments (2003, background): “Suppose that Alice wants to send a secret message to Bob, carried by photons in a glass fiber [174] or through space [90].”
Colloquium: Quantum interference of clusters and molecules (2011, background): “the Earth. All this can be accounted for in a transparent and largely analytical fashion by expressing the state of the particle beam and its evolution in phase space in terms of the Wigner function (Schleich, 2001; Wigner, 1932). This also facilitates the incorporation of decoherence effects caused”
Colloquium: Quantum fluctuation relations: Foundations and applications (2010, unknown): “In order to prove the quantum principle of microreversibility, we first discretize time and express the time evolution operator Ut,0[λ̃] as a time ordered product (Schleich, 2001) Uτ−t,0[λ̃] = lim N→∞ e− i ~H(λ̃τ−Nε)ε . . . e− i ~H(λ̃ε)εe− i ~H(λ̃0)ε , (B1) where ε = t/N denotes the time step.”