16 papers · ranked by Valyu relevance
Christian Beck, Dustin Lazarovici, Ivo Pietro Degiovanni
The POVM theorem is a central result in Bohmian mechanics, grounding the measurement formalism of standard quantum mechanics in a statistical analysis based on the quantum equilibrium hypothesis (the Born rule for Bohmian particle positions). It states that the outcome statistics of an experiment are described by a…
Renzhi Yuan
This paper gives a brief introduction to Positive-Operator Valued Measure (POVM) of quantum communications. The Projection-Valued Measure (PVM) is first introduced and then the POVM. The relation between POVM and PVM is discussed and an example of POVM in practical measurement is given. This paper provides some insight…
Roberto Beneduci
Recently a characterization of uniformly continuous POVMs and a necessary condition for a uniformly continuous POVM F to have the norm-1 property have been provided. Moreover it was proved that in the commutative case, uniform continuity corresponds to the existence of a Feller Markov kernel. We apply such results to…
Yi‐Hsiang Chen, Todd A. Brun
Many quantum measurements, such as photodetection, can be destructive. In photodetection, when the detector "clicks" a photon has been absorbed and destroyed. Yet the lack of a click also gives information about the presence or absence of a photon. In monitoring the emission of photons from a source, one decomposes the…
Zhibo Hou, Jun-Feng Tang, Jiangwei Shang, Huangjun Zhu + 6 more
'Yuan Yuan' 'Kang-Da Wu' 'Guo-Yong Xiang' 'Chuan-Feng Li' 'Guang-Can Guo'] Collective measurements on identically prepared quantum systems can extract more information than local measurements, thereby enhancing information-processing efficiency. Although this nonclassical phenomenon has been known for two decades, it…
Arnold Neumaier, Dustin Lazarovici
The details of the contents and formulations of the Born rule have changed considerably from its inception by Born in 1926 to the present day. This paper traces the early history of the Born rule 100 years ago, its generalization (essential for today’s quantum optics and quantum information theory) to POVMs around 50…
Gael Sentís, B. Gendra, Stephen D. Bartlett, Andrew C. Doherty
We design an efficient and constructive algorithm to decompose any generalized quantum measurement into a convex combination of extremal measurements. We show that if one allows for a classical post-processing step only extremal rank-1 POVMs are needed. For a measurement with N elements on a d-dimensional space, our…
Douglas F. Pinto, Marcelo Serrano Zanetti, Marcos L. W. Basso, Jonas Maziero
'Jonas Maziero'] In Ref. [Phys. Rev. A 100, 062317 (2019)], the authors reported an algorithm to implement, in a circuit-based quantum computer, a general quantum measurement (GQM) of a two-level quantum system, a qubit. Even though their algorithm seems right, its application involves the solution of an intricate…
Esteban Martínez-Vargas, Carlos Pineda, Pablo Barberis-Blostein
Using the convex structure of positive operator value measurements and several quantities used in quantum metrology, such as quantum Fisher information or the quantum Van Trees information, we present an efficient numerical method to find the best strategy allowed by quantum mechanics to estimate a parameter. This…
Daniele Morrone, N. Walter Talarico, Marco Cattaneo, Matteo A. C. Rossi + 1 more
'Matteo A. C. Rossi' 'Marco Pettini'] By leveraging the Variational Quantum Eigensolver (VQE), the “quantum equation of motion” (qEOM) method established itself as a promising tool for quantum chemistry on near-term quantum computers and has been used extensively to estimate molecular excited states. Here, we explore a…
Mani Zartab, Giulio Gasbarri, Gael Sentís, Ramon Muñoz-Tapia
For two non-communicating parties, quantum theory can give rise to probability distributions of outcomes that no local classical model can reproduce without communication. However, in the case of two-dimensional systems (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}…
Mohammad Aamir Sohail, Ranga R. Sudharshan, S. Sandeep Pradhan, Arvind Rao
We present a new Hamiltonian-learning framework based on time-resolved measurement data from a fixed local IC-POVM and its application to inferring gene regulatory networks. We introduce the quantum Hamiltonian-based gene-expression model (QHGM), in which gene interactions are encoded as a parameterized Hamiltonian…
Sahil Sahil, S Sohail
Generalized quantum measurements, described by positive operator-valued measures (POVMs), are essential for modeling realistic processes in open quantum systems. While quantum process tomography can fully characterize a POVM, it is resource-intensive and impractical when only specific POVM elements or matrix elements…
Marc-Olivier Renou, Nicolas Gisin, Florian Fröwis
Quantum measurements have intrinsic properties that seem incompatible with our everyday-life macroscopic measurements. Macroscopic Quantum Measurement (MQM) is a concept that aims at bridging the gap between well-understood microscopic quantum measurements and macroscopic classical measurements. In this paper, we focus…
Hsin-Hung Li, Thomas C. Sprague, Aspen H. Yoo, Wei Ji Ma + 1 more
Neural representations of visual working memory (VWM) are noisy, and thus, decisions based on VWM are inevitably subject to uncertainty. However, the mechanisms by which the brain simultaneously represents the content and uncertainty of memory remain largely unknown. Here, inspired by the theory of probabilistic…
Michael Taylor, Arkajit Mandal, Pengfei Huo
Recent progress in enabling new chemical reactivities by strongly coupling molecular systems to quantized radiation has stimulated theoretical developments in molecular quantum electrodynamics As this field of cavity quantum electrodynamics (cQED) is highly interdisciplinary drawing from both quantum optics and…