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We develop a scheme for fault-tolerant quantum computation based on asymmetric Bacon-Shor codes, which works effectively against highly biased noise dominated by dephasing. We find the optimal Bacon-Shor block size as a function of the…

Quantum Physics · Physics 2013-03-08 Peter Brooks , John Preskill

Quantum error correction protects fragile quantum information by encoding it into a larger quantum system. These extra degrees of freedom enable the detection and correction of errors, but also increase the operational complexity of the…

Active quantum error correction has been identified as a crucial ingredient of future quantum computers, motivating the recent experimental efforts to encode logical quantum bits using small topological codes. In addition to the…

Quantum Physics · Physics 2019-03-06 M. Gutiérrez , M. Müller , A. Bermudez

The quest of demonstrating beneficial quantum error correction in near-term noisy quantum processors can benefit enormously from a low-resource optimization of fault-tolerant schemes, which are specially designed for a particular platform…

Quantum Physics · Physics 2019-12-11 A. Bermudez , X. Xu , M. Gutiérrez , S. C. Benjamin , M. Müller

We introduce crosstalk-robust gate sets, which are obtained using a novel, scalable optimal control problem exploiting locality. Through the suppression of pairwise quantum crosstalk, the gate sets enable robustness that extends to…

In addition to magnetic field and electric charge noise adversely affecting spin qubit operations, performing single-qubit gates on one of multiple coupled singlet-triplet qubits presents a new challenge---crosstalk, which is inevitable…

Mesoscale and Nanoscale Physics · Physics 2018-01-31 Donovan Buterakos , Robert E. Throckmorton , S. Das Sarma

We investigate cat codes that can correct multiple excitation losses and identify two types of logical errors: bit-flip errors due to excessive excitation loss and dephasing errors due to quantum back-action from the environment. We show…

The promise of quantum computers hinges on the ability to scale to large system sizes, e.g., to run quantum computations consisting of more than 100 million operations fault-tolerantly. This in turn requires suppressing errors to levels…

We compare two different implementations of fault-tolerant entangling gates on logical qubits. In one instance, a twelve-qubit trapped-ion quantum computer is used to implement a non-transversal logical CNOT gate between two five qubit…

Inspired by Knill's scheme for message passing error detection, here we develop a scheme for message passing error correction for the nine-qubit Bacon-Shor code. We show that for two levels of concatenated error correction, where classical…

Quantum Physics · Physics 2009-11-13 Z. W. E. Evans , A. M. Stephens

The design and performance analysis of quantum error correction (QEC) codes are often based on incoherent and independent noise models since it is easy to simulate. However, these models fail to capture realistic hardware noise sources,…

Quantum Physics · Physics 2025-04-16 Zeyuan Zhou , Andrew Ji , Yongshan Ding

We examine the detailed scenario for implementing n-control-qubit Toffoli gates and select gates on ion-trap quantum computers, especially those that shuttle ions into interaction zones. We determine expected performance of these gates with…

Quantum Physics · Physics 2021-03-02 Nilesh Goel , J. K. Freericks

We propose a fault-tolerant quantum computer architecture for trapped-ion devices, which we call the walking cat architecture. Our blueprint includes a compiler, a detailed description of all the quantum error-correction protocols, a…

We reduce measurement errors in a quantum computer using machine learning techniques. We exploit a simple yet versatile neural network to classify multi-qubit quantum states, which is trained using experimental data. This flexible approach…

Ion-trap quantum computers offer a large number of possible qubit couplings, each of which requires individual calibration and can be misconfigured. To enhance the duty cycle of an ion trap, we develop a strategy that diagnoses individual…

Quantum Physics · Physics 2021-12-14 Andrii O. Maksymov , Jason Nguyen , Vandiver Chaplin , Yunseong Nam , Igor L. Markov

Non-adiabatic two-qubit gate proposals for trapped-ion systems offer superior performance and flexibility over adiabatic schemes at the cost of increased laser control requirements. Existing fast gate schemes are limited by single-qubit…

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…

Quantum Physics · Physics 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

Quantum error correction and fault-tolerance make it possible to perform quantum computations in the presence of imprecision and imperfections of realistic devices. An important question is to find the noise rate at which errors can be…

Quantum Physics · Physics 2016-06-30 Christopher Chamberland , Tomas Jochym-O'Connor , Raymond Laflamme

We present a scheme for correcting for crosstalk- and noise-induced errors in exchange-coupled singlet-triplet semiconductor double quantum dot qubits. While exchange coupling allows the coupling strength to be controlled independently of…

Mesoscale and Nanoscale Physics · Physics 2018-07-05 Donovan Buterakos , Robert E. Throckmorton , S. Das Sarma

The addressing of a particular qubit within a quantum register is a key prerequisite for scalable quantum computing. In general, executing a quantum gate with a single qubit, or a subset of qubits, affects the quantum states of all other…

Quantum Physics · Physics 2014-09-03 Ch. Piltz , Th. Sriarunothai , A. F. Varón , Ch. Wunderlich