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Since simulating quantum computers requires exponentially more classical resources, efficient algorithms are extremely helpful. We analyze algorithms that create single qubit and specific controlled qubit matrix representations of gates.…

量子物理 · 物理学 2007-05-23 Eric Hsu

Precise qubit manipulation is fundamental to quantum computing, yet experimental systems generally have stray coupling between the qubit and the environment, which hinders the necessary high-precision control. We report here the first…

介观与纳米尺度物理 · 物理学 2013-04-04 Xin Wang , Lev S. Bishop , J. P. Kestner , Edwin Barnes , Kai Sun , S. Das Sarma

The concrete schemes to realize three types of basic quantum logical gates using linear quadripartite cluster states of optical continuous variables are proposed. The influences of noises and finite squeezing on the computation precision…

量子物理 · 物理学 2015-05-13 Aihong Tan , Changde Xie , Kunchi Peng

We present a method of concatenated quantum error correction in which improved classical processing is used with existing quantum codes and fault-tolerant circuits to more reliably correct errors. Rather than correcting each level of a…

量子物理 · 物理学 2012-10-26 Zachary W. E. Evans , Ashley M. Stephens

We discuss the implementation of arbitrary precision composite pulses developed using the methods of Brown et al. [Phys. Rev. A 70 (2004) 052318]. We give explicit results for pulse sequences designed to tackle both the simple case of pulse…

量子物理 · 物理学 2007-11-05 William G. Alway , Jonathan A. Jones

Quantum error correcting codes have been developed to protect a quantum computer from decoherence due to a noisy environment. In this paper, we present two methods for optimizing the physical implementation of such error correction schemes.…

介观与纳米尺度物理 · 物理学 2009-10-31 Guido Burkard , Daniel Loss , David P. DiVincenzo , John A. Smolin

There have been significant recent advances in constructing theoretical and practical quantum error correcting codes that function well as quantum memories; however, performing fault-tolerant logical gates on these codes is less studied,…

量子物理 · 物理学 2025-10-22 Noah Berthusen , Elijah Durso-Sabina

In order to solve problems of practical importance, quantum computers will likely need to incorporate quantum error correction, where a logical qubit is redundantly encoded in many noisy physical qubits. The large physical-qubit overhead…

量子物理 · 物理学 2025-03-25 Harald Putterman , Kyungjoo Noh , Connor T. Hann , Gregory S. MacCabe , Shahriar Aghaeimeibodi , Rishi N. Patel , Menyoung Lee , William M. Jones , Hesam Moradinejad , Roberto Rodriguez , Neha Mahuli , Jefferson Rose , John Clai Owens , Harry Levine , Emma Rosenfeld , Philip Reinhold , Lorenzo Moncelsi , Joshua Ari Alcid , Nasser Alidoust , Patricio Arrangoiz-Arriola , James Barnett , Przemyslaw Bienias , Hugh A. Carson , Cliff Chen , Li Chen , Harutiun Chinkezian , Eric M. Chisholm , Ming-Han Chou , Aashish Clerk , Andrew Clifford , R. Cosmic , Ana Valdes Curiel , Erik Davis , Laura DeLorenzo , J. Mitchell D'Ewart , Art Diky , Nathan D'Souza , Philipp T. Dumitrescu , Shmuel Eisenmann , Essam Elkhouly , Glen Evenbly , Michael T. Fang , Yawen Fang , Matthew J. Fling , Warren Fon , Gabriel Garcia , Alexey V. Gorshkov , Julia A. Grant , Mason J. Gray , Sebastian Grimberg , Arne L. Grimsmo , Arbel Haim , Justin Hand , Yuan He , Mike Hernandez , David Hover , Jimmy S. C. Hung , Matthew Hunt , Joe Iverson , Ignace Jarrige , Jean-Christophe Jaskula , Liang Jiang , Mahmoud Kalaee , Rassul Karabalin , Peter J. Karalekas , Andrew J. Keller , Amirhossein Khalajhedayati , Aleksander Kubica , Hanho Lee , Catherine Leroux , Simon Lieu , Victor Ly , Keven Villegas Madrigal , Guillaume Marcaud , Gavin McCabe , Cody Miles , Ashley Milsted , Joaquin Minguzzi , Anurag Mishra , Biswaroop Mukherjee , Mahdi Naghiloo , Eric Oblepias , Gerson Ortuno , Jason Pagdilao , Nicola Pancotti , Ashley Panduro , JP Paquette , Minje Park , Gregory A. Peairs , David Perello , Eric C. Peterson , Sophia Ponte , John Preskill , Johnson Qiao , Gil Refael , Rachel Resnick , Alex Retzker , Omar A. Reyna , Marc Runyan , Colm A. Ryan , Abdulrahman Sahmoud , Ernesto Sanchez , Rohan Sanil , Krishanu Sankar , Yuki Sato , Thomas Scaffidi , Salome Siavoshi , Prasahnt Sivarajah , Trenton Skogland , Chun-Ju Su , Loren J. Swenson , Stephanie M. Teo , Astrid Tomada , Giacomo Torlai , E. Alex Wollack , Yufeng Ye , Jessica A. Zerrudo , Kailing Zhang , Fernando G. S. L. Brandão , Matthew H. Matheny , Oskar Painter

In many physical systems it is expected that environmental decoherence will exhibit an asymmetry between dephasing and relaxation that may result in qubits experiencing discrete phase errors more frequently than discrete bit errors. In the…

量子物理 · 物理学 2009-11-13 A. M. Stephens , Z. W. E. Evans , S. J. Devitt , L. C. L. Hollenberg

Quantum error correction allows for faulty quantum systems to behave in an effectively error free manner. One important class of techniques for quantum error correction is the class of quantum subsystem codes, which are relevant both to…

量子物理 · 物理学 2013-05-29 Gregory M. Crosswhite , Dave Bacon

Accurate quantum control is a key technology for realizing quantum information processing, such as quantum communication and quantum computation. In reality, a quantum state under control suffers from undesirable effects caused by…

量子物理 · 物理学 2022-11-09 Shingo Kukita , Haruki Kiya , Yasushi Kondo

Characterizing and mitigating errors in current noisy intermediate-scale devices is important to improve performance of next generations of quantum hardware. In order to investigate the importance of the different noise mechanisms affecting…

量子物理 · 物理学 2023-02-14 Gabriele Cenedese , Giuliano Benenti , Maria Bondani

A universal set of quantum gates is constructed for the recently developed jump-error correcting quantum codes. These quantum codes are capable of correcting errors arising from the spontaneous decay of distinguishable qubits into…

量子物理 · 物理学 2007-05-23 G. Alber , M. Mussinger , A. Delgado

Fault tolerant protocol assumes the application of error correction after every quantum gate. However, correcting errors is costly in terms of time and number of qubits. Here we demonstrate that quantum error correction can be applied…

量子物理 · 物理学 2015-06-18 Yaakov S. Weinstein

We introduce new rounding methods to improve the accuracy of finite precision quantum arithmetic. These quantum rounding methods are applicable when multiple samples are being taken from a quantum program. We show how to use multiple…

量子物理 · 物理学 2021-08-18 Rajiv Krishnakumar , William Zeng

With the advent of physical qubits exhibiting strong noise bias, it becomes increasingly relevant to identify which quantum gates can be efficiently implemented on error-correcting codes designed to address a single dominant error type.…

量子物理 · 物理学 2025-07-09 Victor Barizien , Hugo Jacinto , Nicolas Sangouard

We show how to carry out quantum logical operations (controlled-not and Toffoli gates) on encoded qubits for several encodings which protect against various 1-bit errors. This improves the reliability of these operations by allowing one to…

量子物理 · 物理学 2009-10-30 Wojciech Hubert Zurek , Raymond Laflamme

We design and analyze a logical qubit composed of a linear array of electron spins in semiconductor quantum dots. To avoid the difficulty of fully controlling a two-dimensional array of dots, we adapt spin control and error correction to a…

One of the most challenging problems for the realization of a scalable quantum computer is to design a physical device that keeps the error rate for each quantum processing operation low. These errors can originate from the accuracy of…

量子物理 · 物理学 2022-12-28 Christian Boudreault , Hichem Eleuch , Michael Hilke , Richard MacKenzie

Because of their long coherence time and compatibility with industrial foundry processes, electron spin qubits are a promising platform for scalable quantum processors. A full-fledged quantum computer will need quantum error correction,…