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Stabilizer codes lie at the heart of modern quantum-error-correcting codes (QECC). Of particular importance is a class called Calderbank-Shor-Steane (CSS) codes, which includes many important examples such as toric codes, color codes, and…

量子物理 · 物理学 2025-07-08 Ryotaro Niwa , Jong Yeon Lee

Pre-fault tolerant quantum computers have already demonstrated the ability to estimate observable values accurately, at a scale beyond brute-force classical computation. This has been enabled by error mitigation techniques that often rely…

The Gottesman-Kitaev-Preskill (GKP) encoding of a qubit within an oscillator is particularly appealing for fault-tolerant quantum computing with bosons because Gaussian operations on encoded Pauli eigenstates enable Clifford quantum…

The Pauli stabilizer formalism is perhaps the most thoroughly studied means of procuring quantum error-correcting codes, whereby the code is obtained through commutative Pauli operators and ``stabilized'' by them. In this work we will show…

量子物理 · 物理学 2024-06-04 Jhih-Yuan Kao , Hsi-Sheng Goan

The dynamic of correlations in a system composed of a two-mode quantum field coupled with the environment is studied. The quantum field corresponds to two entangled coherent states whose amplitude we vary up to the mesoscopic regime. We…

量子物理 · 物理学 2021-01-06 F. Lastra , C. E. López

Hamiltonian quantum computing, such as the adiabatic and holonomic models, can be protected against decoherence using an encoding into stabilizer subspace codes for error detection and the addition of energy penalty terms. This method has…

量子物理 · 物理学 2017-08-15 Milad Marvian , Daniel Lidar

Decoherence of quantum states is a major hurdle towards scalable and reliable quantum computing. Lower decoherence (i.e., higher fidelity) can alleviate the error correction overhead and obviate the need for energy-intensive noise reduction…

新兴技术 · 计算机科学 2019-04-10 Abdullah Ash Saki , Mahabubul Alam , Swaroop Ghosh

Mitigating noise-induced decoherence is the central challenge in controlling open quantum systems. While existing robust protocols often require precise noise models, we introduce a universal framework for noise-agnostic quantum control…

量子物理 · 物理学 2026-03-18 Lixiang Ding , Jingtao Fan , Xingze Qiu

This is a brief description of how to protect quantum states from dissipation and decoherence that arise due to uncontrolled interactions with the environment. We discuss recoherence and stabilisation of quantum states based on two…

量子物理 · 物理学 2007-05-23 A. Ekert , C. Macchiavello

Quantum codes are subspaces of the state space of a quantum system that are used to protect quantum information. Some common classes of quantum codes are stabilizer (or additive) codes, non-stabilizer (or non-additive) codes obtained from…

量子物理 · 物理学 2012-09-05 Hari Dilip Kumar , B. Sundar Rajan

We present control schemes for open quantum systems that combine decoupling and universal control methods with coding procedures. By exploiting a general algebraic approach, we show how appropriate encodings of quantum states result in…

量子物理 · 物理学 2009-11-06 Lorenza Viola , Emanuel Knill , Seth Lloyd

Dynamical decoupling pulse sequences have been used to extend coherence times in quantum systems ever since the discovery of the spin-echo effect. Here we introduce a method of recursively concatenated dynamical decoupling pulses, designed…

量子物理 · 物理学 2007-05-23 K. Khodjasteh , D. A. Lidar

Fault-tolerant quantum computation with depolarization error often requires demanding error threshold and resource overhead. If the operations can maintain high noise bias -- dominated by dephasing error with small bit-flip error -- we can…

量子物理 · 物理学 2022-12-21 Ming Yuan , Qian Xu , Liang Jiang

Quantum computing promises significant speed-up for certain types of computational problems. However, robust implementations of semiconducting qubits must overcome the effects of charge noise that currently limit coherence during gate…

量子物理 · 物理学 2017-07-12 Mark Friesen , Joydip Ghosh , M. A. Eriksson , S. N. Coppersmith

Usual scenarios of fault-tolerant computation are concerned with the fault-tolerant realization of quantum algorithms that compute classical functions, such as Shor's algorithm for factoring. In particular, this means that input and output…

量子物理 · 物理学 2025-12-03 Matthias Christandl , Omar Fawzi , Ashutosh Goswami

Active protection of quantum states is an essential prerequisite for the implementation of quantum computing. Dynamical decoupling (DD) is a promising approach that applies sequences of control pulses to the system in order to reduce the…

量子物理 · 物理学 2013-05-14 Mustafa Ahmed Ali Ahmed , Gonzalo A. Álvarez , Dieter Suter

Unlike closed systems, where the total energy and information are conserved within the system, open systems interact with the external environment which often leads to complex behaviors not seen in closed systems. The random fluctuations…

量子物理 · 物理学 2024-05-24 Joo Yong Shim , Joongheon Kim

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

Quantum codes are subspaces of the state space of a quantum system that are used to protect quantum information. Some common classes of quantum codes are stabilizer (or additive) codes, non-stabilizer (or non-additive) codes obtained from…

量子物理 · 物理学 2012-08-27 Hari Dilip Kumar

We demonstrate that two recent innovations in the field of practical quantum key distribution (one-way autocompensation and passive detection) are closely related to the methods developed to protect quantum computations from decoherence. We…