Quantum information : an introduction

By Masahito Hayashi. 2006

350 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d8b1bb49bbe29b81cd92868c1a92eab5af8d2bae

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Citations in the corpus

Asymptotic Error Rates in Quantum Hypothesis Testing (2007, background): “Hayashi [11] made progress regarding (3), by showing that for s = 1/2, − log Tr[ρ1−sσ s] is also an achievable error exponent.”
Min- and Max-Relative Entropies and a New Entanglement Monotone (2008, unknown): “For 0 < α < 1, we have [28]: Sα(ρ||σ) ≤ Sα(T (ρ)||T (σ)).”
Error exponent in asymmetric quantum hypothesis testing and its application to classical-quantum channel coding (2006, methodology): “Concerning the symmetric setting, Hayashi obtained quantum Chernoff bound in Chapter 3 of [6] when two hypothesis are unitarily equivalent with each other.”
From Classical to Quantum Shannon Theory (2011, background): “Other excellent books that cover some aspects of quantum Shannon theory are (Hayashi, 2006; Holevo, 2002a, 2012; Watrous, 2015).”
Quantum Conditional Mutual Information and Approximate Markov Chains (2014, unknown): “ operators ρand σwith tr(ρ) ≥ tr(σ), the trace distance is upper bounded by ∆(ρ,σ) ≤ p tr(ρ)2 −F(ρ,σ)2 . (156) The following lemma relates the relative entropy to the ﬁdelity (see also Section 5.4 of [27]). Lemma B.2. For any non-negative operators ρand σ D(ρkσ) ≥ −2log2 F(ρ,σ) tr(ρ) . (157) Proof. ”
A Survey on Quantum Channel Capacities (2018, background): “Further information about these basic quantum protocols can be found in the book of Hayashi from 2006 [220], in the book of Nielsen and Chuang [403], or in the paper of Bennett and Wiesner [58], and [59], (both papers from 1992),, and Bennett’s paper from 1993 [60].”
Sample-Optimal Tomography of Quantum States (2015, background): “The previously known upper bound on n already used only independent measurements; thus our lower bounds show that this result was essentially optimal.”
Quantum Computation and Quantum Information (2012, background): “ than the classical counterpart. It is an unsolved problem to determine quantum channel capacity or the amount of quantum information that can be reliably transmitted over noisy quantum channels. See Hayashi (2006) and Nielsen and Chuang (2000). In spite of the above similarity, there are intrinsic ”
A Fully Quantum Asymptotic Equipartition Property (2008, result): “Similar result have also been found in the context of quantum hypothesis testing (e.g., [10]–[12]).”