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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

Binary quantum information can be fault tolerantly encoded in states defined in infinite dimensional Hilbert spaces. Such states define a computational basis, and permit a perfect equivalence between continuous and discrete universal…

量子物理 · 物理学 2016-09-13 A. Ketterer , A. Keller , S. P. Walborn , T. Coudreau , P. Milman

Quantum information stored in a qubit is rapidly lost to the environment. The realization of robust qubits is one of the most important challenges in quantum computing. Herein we propose to embed a logical qubit within the manifold of a…

量子物理 · 物理学 2022-05-03 Hideyuki Miyahara , Yiyou Chen , Vwani Roychowdhury , Louis-S. Bouchard

We proposed a scheme to realize a controlled-NOT quantum logic gate in a dimer of exchange coupled single-molecule magnets, $[\textrm{Mn}_4]_2$. We chosen the ground state and the three low-lying excited states of a dimer in a finite…

量子物理 · 物理学 2015-06-26 Jing-Min Hou , Li-Jun Tian , Mo-lin Ge

Quantum circuit network is a set of circuits that implements a certain computation task. Being at the center of the quantum circuit network, the multi-qubit controlled phase shift is one of the most important quantum gates. In this paper,…

量子物理 · 物理学 2009-11-10 Jingfu Zhang , Wenzhang Liu , Zhiwei Deng , Zhiheng Lu , Gui Lu Long

Quantum logic gates can perform calculations much more efficiently than their classical counterparts. However, the level of control needed to obtain a reliable quantum operation is correspondingly higher. In order to evaluate the…

量子物理 · 物理学 2009-11-13 Holger F. Hofmann , Ryo Okamoto , Shigeki Takeuchi

Liquid-state NMR quantum computer has demonstrated the possibility of quantum computation and supported its development. Using NMR quantum computer techniques, we observed phase decoherence under two kinds of artificial noise fields; one a…

量子物理 · 物理学 2007-05-23 Yasushi Kondo , Mikio Nakahara , Shogo Tanimura

Realizing universal fault-tolerant quantum computation is a key goal in quantum information science. By encoding quantum information into logical qubits utilizing quantum error correcting codes, physical errors can be detected and…

To realize fault-tolerant quantum computing, it is necessary to store quantum information in logical qubits with error correction functions, realized by distributing a logical state among multiple physical qubits or by encoding it in the…

The realization of effective quantum error correction protocols remains a central challenge in the development of scalable quantum computers. Employing high-dimensional quantum systems (qudits) can offer more hardware-efficient protocols…

量子物理 · 物理学 2025-03-18 Sumin Lim , Mikhail V. Vaganov , Junjie Liu , Arzhang Ardavan

Quantum logic gates provide fundamental examples of conditional quantum dynamics. They could form the building blocks of general quantum information processing systems which have recently been shown to have many interesting non--classical…

量子物理 · 物理学 2009-10-28 A. Barenco , D. Deutsch , A. Ekert , R. Jozsa

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

Bell measurements (BMs) are ubiquitous in quantum information and technology. They are basic elements for quantum commmunication, computation, and error correction. In particular, when performed on logical qubits encoded in physical…

量子物理 · 物理学 2026-01-14 Simon D. Reiß , Peter van Loock

Nuclear Magnetic Resonance (NMR) has provided a valuable experimental testbed for quantum information processing (QIP). Here, we briefly review the use of nuclear spins as qubits, and discuss the current status of NMR-QIP. Advances in the…

We present a formalism for encoding the logical basis of a qubit into subspaces of multiple physical levels. The need for this multilevel encoding arises naturally in situations where the speed of quantum operations exceeds the limits…

量子物理 · 物理学 2007-05-23 Matthew Grace , Constantin Brif , Herschel Rabitz , Ian Walmsley , Robert Kosut , Daniel Lidar

It is suggested to map the qubits into solid state NMR spin system collective states instead of the states of the individual spin. Such an approach introduces the stable computational basis without any additional actions and allows to…

量子物理 · 物理学 2007-05-23 Alexander R. Kessel , Vladimir L. Ermakov

We propose and experimentally realize an algorithmic benchmark that demonstrates coherent control with a sequence of quantum operations that first generates and then decodes the cat state (|000...>+|111...>)/sqrt(2) to the standard initial…

量子物理 · 物理学 2007-05-23 E. Knill , R. Laflamme , R. Martinez , C. -H. Tseng

We propose using even and odd Sch\"odinger cat states formed from coherent states of U(3) of an ensemble of qutrits with a symmetrical V-configuration (a qubit-disguised qutrit) to encode a logical qubit. These carefully engineered logical…

量子物理 · 物理学 2025-12-18 Luis Octavio Castaños-Cervantes , Manuel Calixto , Julio Guerrero

A five-qubit codeword stabilized quantum code is implemented in a seven-qubit system using nuclear magnetic resonance (NMR). Our experiment implements a good nonadditive quantum code which encodes a larger Hilbert space than any stabilizer…

量子物理 · 物理学 2012-06-18 Jingfu Zhang , Markus Grassl , Bei Zeng , Raymond Laflamme

We propose a new way of implementing several elementary quantum gates for qubits in the coherent state basis. The operations are probabilistic and employ single photon subtractions as the driving force. Our schemes for single-qubit phase…

量子物理 · 物理学 2015-05-19 Petr Marek , Jaromir Fiurasek