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In this work, we develop a space-time block code for noncoherent communication using techniques from the field of quantum error correction. We decompose the multiple-input multiple-output (MIMO) channel into operators from quantum…

信号处理 · 电气工程与系统科学 2019-01-31 S. Andrew Lanham , Travis C. Cuvelier , Corey Ostrove , Brian La Cour , Granville Ott , Robert Heath

In previous work, we proposed a method for leveraging efficient classical simulation algorithms to aid in the analysis of large-scale fault tolerant circuits implemented on hypothetical quantum information processors. Here, we extend those…

量子物理 · 物理学 2014-02-12 Daniel Puzzuoli , Christopher Granade , Holger Haas , Ben Criger , Easwar Magesan , D. G. Cory

Active quantum error correction using qubit stabilizer codes has emerged as a promising, but experimentally challenging, engineering program for building a universal quantum computer. In this review we consider the formalism of qubit…

量子物理 · 物理学 2015-04-13 Barbara M. Terhal

Quantum metrology has been making amazing progress in the past decades. It is always in researchers' interest to search for new optimal states that improve parameter estimation. In this paper, we point out a connection between the code's…

量子物理 · 物理学 2026-05-26 Zhuoran Bao , Daniel F. V. James

Temporal resolution is a critical figure of merit in quantum sensing. This study combines the distinguishable condition of quantum states with quantum speed limits to establish a lower bound on interrogation time. When the interrogation…

量子物理 · 物理学 2025-07-15 Cong-Gang Song , Qing-yu Cai

Quantum algorithms have the potential to provide exponential speedups over some of the best known classical algorithms. These speedups may enable quantum devices to solve currently intractable problems such as those in the fields of…

量子物理 · 物理学 2018-12-13 Ciarán Ryan-Anderson

Quantum control is an essential tool for the operation of quantum technologies such as quantum computers, simulators, and sensors. Although there are sophisticated theoretical tools for developing quantum control protocols, formulating…

量子物理 · 物理学 2013-04-02 Hanhan Li , Alireza Shabani , Mohan Sarovar , Birgitta K. Whaley

Quantum computers will eventually reach a size at which quantum error correction becomes imperative. Quantum information can be protected from qubit imperfections and flawed control operations by encoding a single logical qubit in multiple…

量子物理 · 物理学 2018-03-15 N. M. Linke , M. Gutierrez , K. A. Landsman , C. Figgatt , S. Debnath , K. R. Brown , C. Monroe

Quantum computers use the quantum interference of different computational paths to enhance correct outcomes and suppress erroneous outcomes of computations. A common pattern underpinning quantum algorithms can be identified when quantum…

量子物理 · 物理学 2009-10-30 Richard Cleve , Artur Ekert , Chiara Macchiavello , Michele Mosca

The accumulation of quantum phase in response to a signal is the central mechanism of quantum sensing, as such, loss of phase information presents a fundamental limitation. For this reason approaches to extend quantum coherence in the…

Quantum error correcting (QEC) codes protect quantum information from decoherence, as long as error rates fall below critical error thresholds. In general, obtaining thresholds implies simulating the QEC procedure using, in general,…

量子物理 · 物理学 2024-10-17 Luis Colmenarez , Ze-Min Huang , Sebastian Diehl , Markus Müller

Several novel approaches have been proposed to resolve the problem of time by relating it to change. We argue using quantum information theory that the Hamiltonian constraint in quantum gravity cannot probe change, so it cannot be used to…

广义相对论与量子宇宙学 · 物理学 2022-02-07 Salman Sajad Wani , James Q. Quach , Mir Faizal , Sebastian Bahamonde , Behnam Pourhassan

We give a short introduction to operator quantum error correction. This is a new protocol for error correction in quantum computing that has brought the fundamental methods under a single umbrella, and has opened up new possibilities for…

算子代数 · 数学 2007-05-23 David W. Kribs

We study the effects of dynamical imperfections in quantum computers. By considering an explicit example, we identify different regimes ranging from the low-frequency case, where the imperfections can be considered as static but with…

量子物理 · 物理学 2009-11-10 Paolo Facchi , Simone Montangero , Rosario Fazio , Saverio Pascazio

A promising approach to overcome decoherence in quantum computing schemes is to perform active quantum error correction using topology. Topological subsystem codes incorporate both the benefits of topological and subsystem codes, allowing…

量子物理 · 物理学 2012-05-15 Ruben S. Andrist , H. Bombin , Helmut G. Katzgraber , M. A. Martin-Delgado

Controlling the temporal mode shape of quantum light pulses has wide ranging application to quantum information science and technology. Techniques have been developed to control the bandwidth, allow shifting in the time and frequency…

A question of the time the system spends in the specified state, when the final state of the system is given, is raised. The model of weak measurements is used to obtain the expression for the time. The conditions for determination of such…

量子物理 · 物理学 2007-05-23 J. Ruseckas , B. Kaulakys

We give an introduction to the theory of quantum error correction using stabilizer codes that is geared towards the working computer scientists and mathematicians with an interest in exploring this area. To this end, we begin with an…

量子物理 · 物理学 2026-02-03 Zachary P. Bradshaw , Jeffrey J. Dale , Ethan N. Evans

Large quantum computers promise to solve some critical problems not solvable otherwise. However, modern quantum technologies suffer various imperfections such as control errors and qubit decoherence, inhibiting their potential utility. The…

量子物理 · 物理学 2023-01-19 Andrii Maksymov , Jason Nguyen , Yunseong Nam , Igor Markov

Operator quantum error-correction is a technique for robustly storing quantum information in the presence of noise. It generalizes the standard theory of quantum error-correction, and provides a unified framework for topics such as quantum…

量子物理 · 物理学 2013-05-29 Michael A. Nielsen , David Poulin