Mark McMahon Wilde | |
---|---|
Born | |
Alma mater | |
Scientific career | |
Fields | quantum information, quantum computing, quantum communication, mathematical physics |
Institutions | Cornell University, Louisiana State University, McGill University |
Doctoral advisor | Todd Brun |
Other academic advisors | Patrick Hayden |
Mark McMahon Wilde is an American quantum information scientist. He is an Associate Professor in the School of Electrical and Computer Engineering at Cornell University, and he is also a Fields Member in the School of Applied and Engineering Physics and the Department of Computer Science at Cornell.
Wilde's research spans quantum information theory [1] [2] (including communication trade-offs, [3] [4] [5] [6] quantum rate-distortion [7] [8] ), network quantum information, [9] quantum error correction, [10] [11] quantum optical communication, [12] [13] quantum computational complexity, [14] and quantum entropy inequalities. [15] [16] His research results on quantum entropy inequalities, [17] time travel and quantum cloning, [18] trade-offs in quantum communication, [19] and quantum entanglement measures [20] have been communicated in popular science media.
He has written or coauthored two textbooks on quantum information theory. [1] [2] The first textbook [1] utilizes the von Neumann entropy and its variants and the notion of typical subspace to present the capacities of quantum communication channels. The second textbook [2] utilizes the Renyi entropy and its variants, the hypothesis testing relative entropy, and the smooth max-relative entropy to present the capacities of quantum communication channels. It also has a part dedicated to foundational concepts in quantum information and entanglement theory and another part to feedback-assisted capacities, representing more recent developments from 2013 and on.
Wilde graduated from Jesuit High School in New Orleans, Louisiana in 1998. [21] He received his bachelor's degree in computer engineering from Texas A&M University in 2002, with support from the Thomas Barton Scholarship. He received his Master's degree in electrical engineering from Tulane University in 2004. [22] He received his Ph.D. in electrical engineering from University of Southern California in 2008, under the supervision of Todd Brun and with support from a School of Engineering Fellowship. [23] His Ph.D. thesis was entitled "Quantum Coding with Entanglement" [24] [25] and contributed to the theory of entanglement-assisted quantum error correction. During this time, he also received the Best Teaching Assistant Award from the Department of Electrical Engineering at USC.[ citation needed ] After his Ph.D. studies, he conducted postdoctoral work in the School of Computer Science at McGill University from 2009–2013 under the supervision of Patrick Hayden, focusing on the topics of quantum information theory, quantum error correction, and quantum computational complexity. [26]
During the summer of 2013, he was a visiting scholar at Raytheon BBN Technologies and the Research Laboratory of Electronics at the Massachusetts Institute of Technology. [27]
In August 2013, he became an assistant professor in the Department of Physics and Astronomy [28] and the Center for Computation and Technology at Louisiana State University (LSU). In August 2018, he was promoted to associate professor with tenure. [29] He is also affiliated with the Hearne Institute for Theoretical Physics at LSU. [30]
From January 2020 until December 2020, he was a visiting professor at the Stanford Institute for Theoretical Physics (on sabbatical leave from LSU). [31]
In July 2022, he became Associate Professor in the School of Electrical and Computer Engineering at Cornell University. [32]
He was associate editor for Quantum Information Theory for IEEE Transactions on Information Theory from May 2015 to December 2021 [33] and for New Journal of Physics from January 2018 until January 2022. [34] He has been on the editorial board for Quantum Information Processing [35] since March 2012. [36]
He co-organized the Southwest Quantum Information and Technology Workshop [37] in 2017 and 2018 and the Beyond i.i.d. in Information Theory Conference [38] in 2015, 2016, and 2020. He was the program committee chair for the 2018 Quantum Communication, Measurement, and Computing [39] Conference and the 2017 Conference on Theory of Quantum Computation, Communication, and Cryptography. [40]
Quantum information is the information of the state of a quantum system. It is the basic entity of study in quantum information theory, and can be manipulated using quantum information processing techniques. Quantum information refers to both the technical definition in terms of Von Neumann entropy and the general computational term.
Quantum entanglement is the phenomenon that occurs when a group of particles are generated, interact, or share spatial proximity in such a way that the quantum state of each particle of the group cannot be described independently of the state of the others, including when the particles are separated by a large distance. The topic of quantum entanglement is at the heart of the disparity between classical and quantum physics: entanglement is a primary feature of quantum mechanics not present in classical mechanics.
A cryptosystem is considered to have information-theoretic security if the system is secure against adversaries with unlimited computing resources and time. In contrast, a system which depends on the computational cost of cryptanalysis to be secure is called computationally, or conditionally, secure.
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Andreas J. Winter is a German mathematician and mathematical physicist at the Universitat Autònoma de Barcelona (UAB) in Spain. He received his Ph.D. in 1999 under Rudolf Ahlswede and Friedrich Götze at the Universität Bielefeld in Germany before moving to the University of Bristol and then to the Centre for Quantum Technologies (CQT) at the National University of Singapore. In 2013 he was appointed ICREA Research Professor at UAB.
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In quantum information theory, quantum state merging is the transfer of a quantum state when the receiver already has part of the state. The process optimally transfers partial information using entanglement and classical communication. It allows for sending information using an amount of entanglement given by the conditional quantum entropy, with the Von Neumann entropy, . It thus provides an operational meaning to this quantity.
In the theory of quantum communication, the entanglement-assisted classical capacity of a quantum channel is the highest rate at which classical information can be transmitted from a sender to receiver when they share an unlimited amount of noiseless entanglement. It is given by the quantum mutual information of the channel, which is the input-output quantum mutual information maximized over all pure bipartite quantum states with one system transmitted through the channel. This formula is the natural generalization of Shannon's noisy channel coding theorem, in the sense that this formula is equal to the capacity, and there is no need to regularize it. An additional feature that it shares with Shannon's formula is that a noiseless classical or quantum feedback channel cannot increase the entanglement-assisted classical capacity. The entanglement-assisted classical capacity theorem is proved in two parts: the direct coding theorem and the converse theorem. The direct coding theorem demonstrates that the quantum mutual information of the channel is an achievable rate, by a random coding strategy that is effectively a noisy version of the super-dense coding protocol. The converse theorem demonstrates that this rate is optimal by making use of the strong subadditivity of quantum entropy.
The noisy-storage model refers to a cryptographic model employed in quantum cryptography. It assumes that the quantum memory device of an attacker (adversary) trying to break the protocol is imperfect (noisy). The main goal of this model is to enable the secure implementation of two-party cryptographic primitives, such as bit commitment, oblivious transfer and secure identification.
Transfer entropy is a non-parametric statistic measuring the amount of directed (time-asymmetric) transfer of information between two random processes. Transfer entropy from a process X to another process Y is the amount of uncertainty reduced in future values of Y by knowing the past values of X given past values of Y. More specifically, if and for denote two random processes and the amount of information is measured using Shannon's entropy, the transfer entropy can be written as:
Aram Wettroth Harrow is a professor of physics in the Massachusetts Institute of Technology's Center for Theoretical Physics.
Nilanjana Datta is an Indian-born British mathematician. She is a Professor in Quantum Information Theory in the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge, and a Fellow of Pembroke College.
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