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While all quantum algorithms can be expressed in terms of single-qubit and two-qubit gates, more expressive gate sets can help reduce the algorithmic depth. This is important in the presence of gate errors, especially those due to…

The basic operating element of standard quantum computation is the qubit, an isolated two-level system that can be accurately controlled, initialized and measured. However, the majority of proposed physical architectures for quantum…

We describe a simple randomized benchmarking protocol for quantum information processors and obtain a sequence of models for the observable fidelity decay as a function of a perturbative expansion of the errors. We are able to prove that…

Quantum Physics · Physics 2011-06-14 Easwar Magesan , J. M. Gambetta , Joseph Emerson

Leakage errors damage a qubit by coupling it to other levels. Over the years, several theoretical approaches to dealing with such errors have been developed based on perturbation arguments. Here we propose a different strategy: we use a…

Quantum Physics · Physics 2017-12-18 Yifan Sun , Junyi Zhang , Lian-Ao Wu

We characterize control of a qutrit implemented in the lowest three energy levels of a capacitively-shunted flux-biased superconducting circuit. Randomized benchmarking over the qutrit Clifford group yields an average fidelity of 98.89…

Quantum Physics · Physics 2021-10-28 M. Kononenko , M. A. Yurtalan , S. Ren , J. Shi , S. Ashhab , A. Lupascu

A key requirement for scalable quantum computing is that elementary quantum gates can be implemented with sufficiently low error. One method for determining the error behavior of a gate implementation is to perform process tomography.…

Characterization of experimental systems is an essential step in developing and improving quantum hardware. A collection of protocols known as Randomized Benchmarking (RB) was developed in the past decade, which provides an efficient way to…

Quantum Physics · Physics 2021-11-22 Linghang Kong

Benchmarks that concisely summarize the performance of many-qubit quantum computers are essential for measuring progress towards the goal of useful quantum computation. In this work, we present a benchmarking framework that is based on…

Quantum computers with a limited qubit connectivity require inserting SWAP gates for qubit routing, which increases gate execution errors and the impact of environmental noise due to an overhead in circuit depth. In this work, we benchmark…

Quantum Physics · Physics 2025-02-07 Vicente Pina-Canelles , Adrian Auer , Inés de Vega

Information flow analysis is a powerful technique for reasoning about the sensitive information exposed by a program during its execution. While past work has proposed information theoretic metrics (e.g., Shannon entropy, min-entropy,…

Cryptography and Security · Computer Science 2010-09-22 Ji Zhu , Mudhakar Srivatsa

Quantum computers will require encoding of quantum information to protect them from noise. Fault-tolerant quantum computing architectures illustrate how this might be done but have not yet shown a conclusive practical advantage. Here we…

Quantum Physics · Physics 2019-03-01 Robin Harper , Steven T. Flammia

To perform reliable quantum computation, quantum error correction is indispensable. In certain cases, continuous covariance symmetry of the physical system can make exact error correction impossible. In this work we study the approximate…

Quantum Physics · Physics 2023-08-25 Hao Dai

A quantum system subject to an external perturbation can experience leakage between uncoupled regions of its energy spectrum separated by a gap. To quantify this phenomenon, we present two complementary results. First, we establish…

Quantum Physics · Physics 2025-09-03 Zsolt Szabó , Stefan Gehr , Paolo Facchi , Kazuya Yuasa , Daniel Burgarth , Davide Lonigro

The ability to perform fast and accurate rotations between the computational basis states of quantum bits is one of the most fundamental requirements for building a quantum computer. Because physical qubits generally contain more than two…

Quantum Physics · Physics 2025-09-30 Ben Chiaro , Yaxing Zhang

Two level quantum mechanical systems like spin 1/2 particles lend themselves as a natural qubit implementation. However, encoding a single qubit in several spins reduces the resources necessary for qubit control and can protect from…

Mesoscale and Nanoscale Physics · Physics 2016-06-08 Pascal Cerfontaine , Tim Botzem , Simon Sebastian Humpohl , Dieter Schuh , Dominique Bougeard , Hendrik Bluhm

A practical quantum computer requires quantum bit (qubit) operations with low error rates in extensible architectures. We study a packaging method that makes it possible to address hundreds of superconducting qubits by means of…

The characterization of errors in a quantum system is a fundamental step for two important goals. First, learning about specific sources of error is essential for optimizing experimental design and error correction methods. Second,…

Quantum Physics · Physics 2020-08-24 Hillary Dawkins , Joel Wallman , Joseph Emerson

Frequency-multiplexing is an effective method to achieve resource-efficient superconducting qubit readout. Allowing multiple resonators to share a common feedline, the number of cables and passive components involved in the readout of a…

Quantum Physics · Physics 2025-02-06 Satvik Maurya , Chaithanya Naik Mude , Benjamin Lienhard , Swamit Tannu

The external control circuits of quantum gates inevitably introduce a small but finite noise to the operation of quantum computers. The complex modes of decoherence introduced by this noise are not covered by the common error models. Using…

Quantum Physics · Physics 2007-05-23 Jürgen T. Stockburger

Information flow is the branch of security that studies the leakage of information due to correlation between secrets and observables. Since in general such correlation cannot be avoided completely, it is important to quantify the leakage.…

Logic in Computer Science · Computer Science 2023-06-22 Yusuke Kawamoto , Konstantinos Chatzikokolakis , Catuscia Palamidessi
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