Quantum information theory

By Masahito Hayashi. Physics Subject Headings (PhySH), 2007

1,350 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d85eb0b9acef1e33d9c9af2733bfff10d28aebc8

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In Artificial Intelligence

Citations in the corpus

Quantum Conditional Mutual Information and Approximate Markov Chains (2014, neutral): “Furthermore, because of (101), we always have tr(Wn(ρ ABC)) = tr(ΓAnBnCn) > 2/3 for η sufficiently small (using the gentle measurement lemma, see [53] for instance).”
6G and Beyond: The Future of Wireless Communications Systems (2020, background): “Within the broader domain of quantum communications, we take into consideration the following types of channel, the dephasing channel and the depolarizing channel [193], [194].”
Entanglement detection (2008, background): “Indeed, one can directly see that if Λ : B(HB) → B(HA′) is a map detecting the state %AB, then it detects all the states (FA ⊗ 1B)%AB(F Ď A ⊗ 1B), where FA is an arbitrary invertible matrix [167].”
From Classical to Quantum Shannon Theory (2011, background): “The book of Nielsen and Chuang (2000) (sometimes affectionately known as “Mike and Ike”) has become the standard starting point for students in quantum information science and might be helpful as well. Some of the content in that book is available in the dissertation of Nielsen (1998). If you are fa”
Continuous‐Variable Quantum Key Distribution with Gaussian Modulation—The Theory of Practical Implementations (2017, methodology): “nciling the measurement bases, if required by the protocol), error correction and privacy amplication. The transmission of the quantum states is performed through a possibly insecure quantum channel [57, 58, 59, 60] whereas the error-correction is conducted using an authenticated classical channel. ”
The Theory of Quantum Information (2018, background): “Further information on the history of quantum information can be found in the books of Peres [169], Nielsen and Chuang [165], and Wilde [229], which are also indispensable references on the theory itself.”
NetSquid, a NETwork Simulator for QUantum Information using Discrete events (2020, background): “Information theory [58] can be used to benchmark implementations against the ideal performance.”
Universal Estimation of Information Measures for Analog Sources (2009, background): “In addition to their prominent role in information theory, they have found numerous applications, among others, in probability theory [13, 19], ergodic theory [218], statistics [64, 142], convex analysis and inequalities [69], physics [25, 27, 147, 150], chemistry [79], molecular biology [270], ecol”
Performance and structure of single-mode bosonic codes (2017, methodology): “We model this process using an extended version of pure loss N—the quantum instrument [62]”
Suppressing quantum errors by scaling a surface code logical qubit (2022, neutral): “A single quantum trajectory is equivalent to consecutively sampling the Kraus operators of each applied quantum channel using Born’s rule for POVMs[77], then applying the Kraus operator to the state vector and normalizing the result[74].”
Barren plateaus in variational quantum computing (2024, neutral): “Thus, in regions of a landscape with exponentially small gradients, exponentially many shots are typically required to determine a loss minimizing direction.”
Quantum autoencoders for efficient compression of quantum data (2016, methodology): “Here, we will use the expected ﬁdelity [8] We thus describe a successful autoencoding as one in which F ( | ψ i (cid:105) , ρ outi ) ≈ 1 for all the input states.”
Quantum entanglement (2007, neutral): “BCHSH#"%=2(2 which saturates the Cirel’son bound.”
The Vendi Score: A Diversity Evaluation Metric for Machine Learning (2022, background): “The von Neumann entropy of ρ quantifies the uncertainty in the state of the system (Wilde, 2013).”
Quantum algorithms: an overview (2015, neutral): “We will also not cover the important topics of how to actually build a quantum computer [59] (in theory or in practice) and quantum error-correction [42], nor quantum communication complexity [23] or quantum Shannon theory [98].”
Quantum internet: A vision for the road ahead (2018, background): “Sucha post-selected prepare-and-measurefunc-tionality is not equivalent to transmitting arbitrary qubits across the network ( 18 ).”
Geometry of Quantum States: Index (2007, background): “But these matters [415, 733, 969] are beyond the ken of our book.”
Quantum thermodynamics (2015, background): “Such a transformation was shown to be entangling, using typicality arguments [112].”