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This paper investigates guesswork over ordered statistics and formulates the achievable guesswork complexity of ordered statistics decoding (OSD) in binary additive white Gaussian noise (AWGN) channels. The achievable guesswork complexity…

Information Theory · Computer Science 2024-12-18 Chentao Yue , Changyang She , Branka Vucetic , Yonghui Li

Quantum physics exhibits an intrinsic and private form of randomness with no classical counterpart. Any setup for quantum randomness generation involves measurements acting on quantum states. In this work, we consider the following…

Quantum Physics · Physics 2025-07-29 Fionnuala Curran , Morteza Moradi , Gabriel Senno , Magdalena Stobinska , Antonio Acín

Complex numbers are theoretically proved and experimentally confirmed as necessary in quantum mechanics and quantum information, and a resource theory of imaginarity of quantum states has been established. In this work, we establish a…

Quantum Physics · Physics 2026-04-08 Chuanfa Wu , Zhaoqi Wu

Variational quantum algorithms (VQAs) are prominent candidates for near-term quantum advantage but lack rigorous guarantees of convergence and generalization. By contrast, quantum phase estimation (QPE) provides provable performance under…

Quantum Physics · Physics 2025-10-09 Tuyen Nguyen , Mária Kieferová

The uncertainty principle sets limit on our ability to predict the values of two incompatible observables measured on a quantum particle simultaneously. This principle can be stated in various forms. In quantum information theory, it is…

Quantum Physics · Physics 2018-09-27 H. Dolatkhah , S. Haseli , S. Salimi , S. A. Khorashad

Though the BB84 protocol has provable security over a noiseless quantum channel, the security is not proven over current noisy technology. The level of tolerable error on such systems is still unclear, as is how much information about a raw…

Quantum Physics · Physics 2024-09-25 Brian Pigott , Elizabeth Campolongo , Hardik Routray , Alex Khan

Measuring the information leakage is critical for evaluating the practical security of cryptographic devices against side-channel analysis. Information-theoretic measures can be used (along with Fano's inequality) to derive upper bounds on…

Information Theory · Computer Science 2022-05-17 Wei Cheng , Yi Liu , Sylvain Guilley , Olivier Rioul

In a variety of physically relevant settings for learning from quantum data, designing protocols that can computationally efficiently extract information remains largely an art, and there are important cases where we believe this to be…

Quantum Physics · Physics 2025-06-18 Sitan Chen , Weiyuan Gong , Jonas Haferkamp , Yihui Quek

A nonparametric Bayesian approach is developed to determine quantum potentials from empirical data for quantum systems at finite temperature. The approach combines the likelihood model of quantum mechanics with a priori information over…

Statistical Mechanics · Physics 2009-10-31 J. C. Lemm , J. Uhlig , A. Weiguny

Ultrafast physical random bit generation at hundreds of Gb/s rates, with verified randomness, is a crucial ingredient in secure communication and have recently emerged using optics based physical systems. Here we examine the inverse problem…

Signal Processing · Electrical Eng. & Systems 2019-11-05 Shira Sardi , Herut Uzan , Shiri Otmazgin , Yaara Aviad , Michael Rosenbluh , Ido Kanter

Quantum cryptography has been recently extended to continuous variable systems, e.g., the bosonic modes of the electromagnetic field. In particular, several cryptographic protocols have been proposed and experimentally implemented using…

Quantum Physics · Physics 2008-12-03 Stefano Pirandola , Stefano Mancini , Seth Lloyd , Samuel L. Braunstein

Quantum entanglement of identical particles is essential in quantum information theory. Yet, its correct determination remains an open issue hindering the general understanding and exploitation of many-particle systems. Operator-based…

Quantum Physics · Physics 2016-03-08 Rosario Lo Franco , Giuseppe Compagno

We show a geometric formulation for minimum-error discrimination of qubit states, that can be applied to arbitrary sets of qubit states given with arbitrary a priori probabilities. In particular, when qubit states are given with equal…

Quantum Physics · Physics 2015-06-04 Joonwoo Bae , Won-Young Hwang

A source sequence is to be guessed with some fidelity based on a rate-limited description of an observed sequence with which it is correlated. The trade-off between the description rate and the exponential growth rate of the least power…

Information Theory · Computer Science 2021-06-28 Robert Graczyk , Amos Lapidoth , Neri Merhav , Christoph Pfister

Quantum information theory sets the ultimate limits for any information-processing task. In rangefinding and LIDAR, the presence or absence of a target can be tested by detecting different states at the receiver. In this Letter, we use…

Quantum Physics · Physics 2022-05-02 Lior Cohen , Mark M. Wilde

We analyze the notion that physical theories are quantitative and testable by observations in experiments. This leads us to propose a new, Bayesian, interpretation of probabilities in physics that unifies their current use in classical…

Quantum Physics · Physics 2007-05-23 Francis G. Perey

Some recent works have introduced a quantum twist to the concept of complementarity, exemplified by a setup in which the which-way detector is in a superposition of being present and absent. It has been argued that such experiments allow…

Quantum Physics · Physics 2013-04-03 Tabish Qureshi

We illustrate the role of complex numbers in quantum information processing through the phenomenon of quantum steering. Exploiting partial knowledge of a qubit in terms of imaginarity, we formulate a steering criterion for bipartite qubit…

Quantum Physics · Physics 2025-08-26 Shounak Datta , A. S. Majumdar

Projective measurement is a commonly used assumption in quantum mechanics. However, advances in quantum measurement techniques allow for partial measurements, which accurately estimate state information while keeping the wavefunction…

Quantum Physics · Physics 2021-08-24 Jonathan Monroe

Methods of quantum mechanics promise information-theoretic security for various protocols in cryptography. However, impossibility of some cryptographic applications such as standard bit commitment, oblivious transfer, multiparty secure…

Quantum Physics · Physics 2015-08-03 Muhammad Nadeem
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