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Implementation of logical entangling gates is an important step towards realizing a quantum computer. We use a gradient-based optimization approach to find single-qubit rotations which can be interleaved between applications of a noisy…

量子物理 · 物理学 2018-06-28 Arman A. Setser , Michael H. Goerz , Jason P. Kestner

Robust gate sequences are widely used to reduce the sensitivity of gate operations to experimental imperfections. Typically, the optimization minimizes the average gate error, however, recent work in quantum error correction has…

量子物理 · 物理学 2023-10-31 Sven Jandura , Jeff D Thompson , Guido Pupillo

Quantum error correction offers a promising path for performing quantum computations with low errors. Although a fully fault-tolerant execution of a quantum algorithm remains unrealized, recent experimental developments, along with…

We construct a universal set of high fidelity quantum gates to be used on a sparse bipartite lattice with always-on Ising couplings. The gates are based on dynamical decoupling sequences using shaped pulses, they protect against…

量子物理 · 物理学 2013-03-05 Amrit De , Leonid P. Pryadko

We prove that a generic three-qubit quantum logic gate can be implemented using at most 98 one-qubit rotations about the $y$- and $z$-axes and 40 CNOT gates, beating an earlier bound of 64 CNOT gates.

量子物理 · 物理学 2007-05-23 Farrokh Vatan , Colin P. Williams

We propose a method for quantum information processing using molecules coupled to an external laser field. This utilizes molecular interactions, control of the external field and an effective energy shift of the doubly-excited state of two…

量子物理 · 物理学 2009-11-10 John H. Reina , Ray G. Beausoleil , Tim P. Spiller , William J. Munro

Quantum systems have potential to demonstrate significant computational advantage, but current quantum devices suffer from the rapid accumulation of error that prevents the storage of quantum information over extended periods. The…

Quantum error mitigation schemes (QEM) have greatly enhanced the performance of quantum computers, mostly by reducing errors caused by interactions with the environment. Nevertheless, the presence of coherence errors, typically arising from…

量子物理 · 物理学 2026-03-10 Tanmoy Pandit , Raam Uzdin

High quality, fully-programmable quantum processors are available with small numbers (<1000) of qubits, and the scientific potential of these near term machines is not well understood. If the small number of physical qubits precludes…

量子物理 · 物理学 2020-09-16 Wesley C. Campbell

We describe new implementations of quantum error correction that are continuous in time, and thus described by continuous dynamical maps. We evaluate the performance of such schemes using numerical simulations, and comment on the…

量子物理 · 物理学 2009-11-11 Mohan Sarovar , G. J. Milburn

Current implementations of quantum logic gates can be highly faulty and introduce errors. In order to correct these errors, it is necessary to first identify the faulty gates. We demonstrate a procedure to diagnose where gate faults occur…

量子物理 · 物理学 2021-01-20 Margarite L. LaBorde , Allee C. Rogers , Jonathan P. Dowling

Fault-tolerant quantum computing typically requires the transpilation of arbitrary quantum circuits into a finite, universal gate set, such as Clifford+T. As a baseline, Diagonal approximation can be used for synthesizing single-qubit Pauli…

量子物理 · 物理学 2026-05-12 Gilad Kishony , Avi Elazari , Ron Cohen , Lior Gazit

We describe a practical method of constructing quantum combinational logic circuits with basic quantum logic gates such as NOT and general $n$-bit Toffoli gates. This method is useful to find the quantum circuits for evaluating logic…

量子物理 · 物理学 2007-05-23 Jae-Seung Lee , Yongwook Chung , Jaehyun Kim , Soonchil Lee

We present a method for quantum error mitigation on partially error-corrected quantum computers - i.e., computers with some logical qubits and some noisy qubits. Our method is inspired by the error cancellation method and is implemented via…

量子物理 · 物理学 2025-10-14 Ben DalFavero , Ryan LaRose

Based on the amplitude behavior of quantum Rabi oscillation driven by a coherent field we show that there exists an upper bound to the number of logical operation performed on any single qubit within one error-correction period of a quantum…

量子物理 · 物理学 2007-12-26 Li Yang , Yufu Chen

Quantum error correction in general is experimentally challenging as it requires significant expansion of the size of quantum circuits and accurate performance of quantum gates to fulfill the error threshold requirement. Here we propose a…

量子物理 · 物理学 2012-06-04 C. Shen , L. -M. Duan

Quantum computers show promise to solve select problems otherwise intractable on classical computers. However, noisy intermediate-scale quantum (NISQ) era devices are currently prone to various sources of error. Quantum error correction…

量子物理 · 物理学 2026-02-25 Maxwell Poster , Sayam Sethi , Jonathan Baker

We study quantum information processing using superpositions of Fock states in superconducting resonators, as quantum $d$-level systems (qudits). A universal set of single and coupled logic gates is theoretically proposed for resonators…

量子物理 · 物理学 2015-05-30 Frederick W. Strauch

Noise and errors are inevitable parts of any practical implementation of a quantum computer. As a result, large-scale quantum computation will require ways to detect and correct errors on quantum information. Here, we present such a quantum…

Universal gate sets for quantum computation, when single and two qubit operations are accessible, include both Hermitian and non-Hermitian gates. Here we utilize the fact that any single-qubit operator may be implemented as two Hermitian…

量子物理 · 物理学 2025-12-03 Ben Zindorf , Sougato Bose