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Page 7568 of Mathematical Reviews Vol. , Issue 2004i [page]

<span title="">2004</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
); Delgado, Aldo (D-ULM-QP; Ulm); Mussinger, Michael (D-ULM-QP; Ulm) A new class of designs which protect against quantum jumps.  ...  A quantum error correcting code is a subspace of a 2”-dimensional complex vector space. This paper considers the construction of codes that can protect the encoded information against quantum jumps.  ... 
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New Class of Quantum Error-Correcting Codes for a Bosonic Mode

Marios H. Michael, Matti Silveri, R. T. Brierley, Victor V. Albert, Juha Salmilehto, Liang Jiang, S. M. Girvin
<span title="2016-07-14">2016</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/34iggvr2oraezibenzxlccincy" style="color: black;">Physical Review X</a> </i> &nbsp;
We construct a new class of quantum error-correcting codes for a bosonic mode which are advantageous for applications in quantum memories, communication, and scalable computation.  ...  These 'binomial quantum codes' are formed from a finite superposition of Fock states weighted with binomial coefficients.  ...  The four-legged cat code [18] protects against single-photon losses and thus is similar to the class of binomial codes with L ¼ 1, of which the simplest case is Eq. ( 2 ).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevx.6.031006">doi:10.1103/physrevx.6.031006</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ywsb7uu32bc7fb4iid76ht3iwu">fatcat:ywsb7uu32bc7fb4iid76ht3iwu</a> </span>
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Universal Sets of Quantum Gates for Detected Jump-Error Correcting Quantum Codes [article]

G. Alber, M. Mussinger, A. Delgado
<span title="2002-08-30">2002</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
A universal set of quantum gates is constructed for the recently developed jump-error correcting quantum codes.  ...  These quantum codes are capable of correcting errors arising from the spontaneous decay of distinguishable qubits into statistically independent reservoirs.  ...  In the subsequent sections we discuss main ideas underlying a recently developed new class of error correcting quantum codes which are capable of correcting a frequently occurring class of errors arising  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/quant-ph/0208177v2">arXiv:quant-ph/0208177v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jhif4yr46fhbtkysnoevj6rqhe">fatcat:jhif4yr46fhbtkysnoevj6rqhe</a> </span>
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Implementation-independent sufficient condition of the Knill-Laflamme type for the autonomous protection of logical qudits by strong engineered dissipation

Jae-Mo Lihm, Kyungjoo Noh, Uwe R. Fischer
<span title="2018-07-16">2018</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/z3u6fzrh4fdvhnzujueyvzipwi" style="color: black;">Physical Review A</a> </i> &nbsp;
Autonomous quantum error correction utilizes the engineered coupling of a quantum system to a dissipative ancilla to protect quantum logical states from decoherence.  ...  a fully autonomous manner to protect against photon loss in a microwave cavity.  ...  We gratefully acknowledge Julien Fraïsse for a critical reading of the manuscript.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreva.98.012317">doi:10.1103/physreva.98.012317</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5dehzo7ik5cxng7qdmtdy772cy">fatcat:5dehzo7ik5cxng7qdmtdy772cy</a> </span>
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Continuous Error Correction [article]

Juan Pablo Paz, Wojciech Hubert Zurek
<span title="1997-07-25">1997</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We propose a new approach to study the evolution of a quantum state that is encoded in a system which is continuously subject to the operations required to implement a quantum error correcting code.  ...  In the limit of continuous error correction we introduce a Markovian master equation that includes the effects of: a) Hamiltonian evolution, b) errors caused by the interaction with an environment and  ...  We acknowledge the hospitality of the ITP at Santa Barbara where this work was started. This research was supported in part by the NSF grant No. PHY94-07194 and by the NSA.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/quant-ph/9707049v1">arXiv:quant-ph/9707049v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rgukesd5wng5zhfzoalpe4yrvq">fatcat:rgukesd5wng5zhfzoalpe4yrvq</a> </span>
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Continuous error correction

J. P. Paz, W. H. Zurek
<span title="1998-01-08">1998</span> <i title="The Royal Society"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/pgnawoixszagldk2tfhndhrgzu" style="color: black;">Proceedings of the Royal Society A</a> </i> &nbsp;
We propose a new approach to study the evolution of a quantum state that is encoded in a system which is continuously subject to the operations required to implement a quantum error correcting code.  ...  In the limit of continuous error correction we introduce a Markovian master equation that includes the effects of: a) Hamiltonian evolution, b) errors caused by the interaction with an environment and  ...  We acknowledge the hospitality of the ITP at Santa Barbara where this work was started. This research was supported in part by the NSF grant No. PHY94-07194 and by the NSA.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1098/rspa.1998.0165">doi:10.1098/rspa.1998.0165</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/mctos2ysj5ghdi4ckm7gthg75a">fatcat:mctos2ysj5ghdi4ckm7gthg75a</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180723162249/http://cds.cern.ch/record/330848/files/9707049.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/47/3c/473c840820cdd2a3e39c0838b718726e0ccc2195.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1098/rspa.1998.0165"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Universal Fault-Tolerant Quantum Computation in the Presence of Spontaneous Emission and Collective Dephasing

K. Khodjasteh, D. A. Lidar
<span title="2002-10-23">2002</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/pkmpevvs3bgkhal5dvrmsu5mvq" style="color: black;">Physical Review Letters</a> </i> &nbsp;
A universal and fault tolerant scheme for quantum computation is proposed which utilizes a class of error correcting codes that is based on the detection of spontaneous emission (of, e.g., photons, phonons  ...  The scheme is compatible with a number of promising solid-state and quantum-optical proposals for quantum computer implementations, such as quantum dots in cavities, electrons on helium, and trapped ions  ...  It protects against the conditional evolution, so what remains is to protect against the jumps.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevlett.89.197904">doi:10.1103/physrevlett.89.197904</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/12443152">pmid:12443152</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6hraturywrfd3lr2traskyl6we">fatcat:6hraturywrfd3lr2traskyl6we</a> </span>
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Engineering steady states using jump-based feedback for multipartite entanglement generation

R. N. Stevenson, J. J. Hope, A. R. R. Carvalho
<span title="2011-08-25">2011</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/iedolmzeofgc3ezyedga7h4eba" style="color: black;">Physical Review A. Atomic, Molecular, and Optical Physics</a> </i> &nbsp;
We investigate the use of quantum-jump-based feedback to manipulate the stability of multipartite entangled dark states in an open quantum system. Using the model proposed in Phys. Rev.  ...  A 76, 010301(R) (2007) for a pair of atoms, we show a general strategy to produce many-body singlet stationary entangled states for larger number of atoms.  ...  CONCLUSIONS In this paper we have shown how pure entangled states of a system of multiple atoms in a cavity can be prepared and protected using quantum-jump-based feedback.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreva.84.022332">doi:10.1103/physreva.84.022332</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/x3idohgswvhfhgslxpzv2jeuyu">fatcat:x3idohgswvhfhgslxpzv2jeuyu</a> </span>
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Quantum information processing with bosonic qubits in circuit QED [article]

Atharv Joshi, Kyungjoo Noh, Yvonne Y. Gao
<span title="2020-08-31">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The unique features of quantum theory offer a powerful new paradigm for information processing.  ...  Circuit quantum electrodynamics (cQED) provides a promising hardware platform for implementing robust quantum devices.  ...  Gao acknowledges funding from the Singapore National Research Foundation Fellowship (Class of 2020). This work is also supported by the Ministry of Education in Singapore.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2008.13471v1">arXiv:2008.13471v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/otvwyejvhneijg4pzyujwboqbm">fatcat:otvwyejvhneijg4pzyujwboqbm</a> </span>
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Quantum memories based on engineered dissipation

Fernando Pastawski, Lucas Clemente, Juan Ignacio Cirac
<span title="2011-01-13">2011</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/iedolmzeofgc3ezyedga7h4eba" style="color: black;">Physical Review A. Atomic, Molecular, and Optical Physics</a> </i> &nbsp;
Here we propose an alternative but more powerful approach in which the coupling to a bath is engineered, so that dissipation protects the encoded qubit against more general kinds of errors.  ...  Storing quantum information for long times without disruptions is a major requirement for most quantum information technologies.  ...  Inspired by Gács' construction, Harrington [31] has proposed a local quantum error correction scheme in 2D capable of protecting against quantum errors.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreva.83.012304">doi:10.1103/physreva.83.012304</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/zsrmfb6yn5dknmyuvvdysb5qsa">fatcat:zsrmfb6yn5dknmyuvvdysb5qsa</a> </span>
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Overview of quantum error prevention and leakage elimination

Mark S. Byrd, Lian-Ao Wu, Daniel A. Lidar
<span title="">2004</span> <i title="Informa UK Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nik7iflojred5n6fjdhy5abuzu" style="color: black;">Journal of Modern Optics</a> </i> &nbsp;
Quantum error prevention strategies will be required to produce a scalable quantum computing device and are of central importance in this regard.  ...  We then discuss the combinations of these strategies which have recently been proposed in the literature.  ...  In addition to the descriptions of the classes of codes which protect against different types of errors, a bound was obtained, called the quantum Hamming bound, which describes the smallest set of states  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1080/09500340408231803">doi:10.1080/09500340408231803</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/eybubxuk7zajdcac6rdnu5bztq">fatcat:eybubxuk7zajdcac6rdnu5bztq</a> </span>
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Path-Independent Quantum Gates with Noisy Ancilla [article]

Wen-Long Ma, Mengzhen Zhang, Yat Wong, Kyungjoo Noh, Serge Rosenblum, Philip Reinhold, Robert J. Schoelkopf, Liang Jiang
<span title="2020-08-09">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Ancilla systems are often indispensable to universal control of a nearly isolated quantum system.  ...  However, ancilla systems are typically more vulnerable to environmental noise, which limits the performance of such ancilla-assisted quantum control.  ...  Therefore, there is an urgent need of a general theoretical framework that integrates quantum control and quantum error correction, to guide the design of hardware-efficient robust quantum operations against  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1911.12240v3">arXiv:1911.12240v3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rpqhet6yavee5ppsrgzta2da3q">fatcat:rpqhet6yavee5ppsrgzta2da3q</a> </span>
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Quantum computing in the presence of spontaneous emission by a combined dynamical decoupling and quantum-error-correction strategy

K. Khodjasteh, D. A. Lidar
<span title="2003-08-28">2003</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/iedolmzeofgc3ezyedga7h4eba" style="color: black;">Physical Review A. Atomic, Molecular, and Optical Physics</a> </i> &nbsp;
A new method for quantum computation in the presence of detected spontaneous emission is proposed.  ...  Universal fault-tolerant quantum computation is shown to be possible in this scheme using Hamiltonians relevant to a range of promising proposals for the physical implementation of quantum computers.  ...  That C n is a QECC against the jump errors follows from the fact that a spontaneous emission error always changes the parity of a given codeword, which is then taken to an orthogonal state, and that by  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreva.68.022322">doi:10.1103/physreva.68.022322</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kjangfoyo5f2tcwaoxwp7htw4y">fatcat:kjangfoyo5f2tcwaoxwp7htw4y</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20050317050340/http://www.mathnet.or.kr:80/papers/toronto/lidar/Hybrid-QECC-BB.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/4f/91/4f9138da201e6ade6712b694343b33055ec109b1.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreva.68.022322"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

Dissipative quantum error correction and application to quantum sensing with trapped ions

F. Reiter, A. S. Sørensen, P. Zoller, C. A. Muschik
<span title="2017-11-28">2017</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/a4wan6l5o5dfzn767kyz7jqevi" style="color: black;">Nature Communications</a> </i> &nbsp;
However, quantum sensors lose their sensitivity in the presence of noise. To protect them, the use of quantum error correcting codes has been proposed.  ...  In our approach, always-on couplings to an engineered environment protect the qubit against spin- or phase flips.  ...  The resulting dynamical protection of a qubit against noise results in a significant enhancement of its lifetime, and hence in a substantial improvement of quantum measurements.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/s41467-017-01895-5">doi:10.1038/s41467-017-01895-5</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/29180753">pmid:29180753</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC5704006/">pmcid:PMC5704006</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/4gm6pojmdnee7nota6kchia5fe">fatcat:4gm6pojmdnee7nota6kchia5fe</a> </span>
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Symmetry-protected dissipative preparation of matrix product states [article]

Leo Zhou, Soonwon Choi, Mikhail D. Lukin
<span title="2017-06-06">2017</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
A concrete scheme using excitation of trapped neutral atoms into Rydberg state via Electromagnetically Induced Transparency is proposed, and generalizations to a broader class of matrix product states  ...  Specifically, we construct an explicit protocol that makes use of driven-dissipative dynamics to prepare the Affleck-Kennedy-Lieb-Tasaki (AKLT) states, which features symmetry-protected topological order  ...  Matrix product states (MPS) [1] form an important class of many-body entangled states that can describe a variety of one dimensional quantum systems, including those featuring symmetry-protected topological  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1706.01995v1">arXiv:1706.01995v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/q2ay2tvpwffxlhktw66x5b5vte">fatcat:q2ay2tvpwffxlhktw66x5b5vte</a> </span>
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