{"corpus_id":38504438,"paper_sha":"19cb9731170669f847835ae2cf884750d87ee247","doi":"10.1103/PhysRevA.60.1944","arxiv_id":"quant-ph/9902041","pmid":null,"pmcid":null,"mag_id":2067910209,"dblp_id":null,"acl_id":null,"title":"Robustness of Decoherence-Free Subspaces for Quantum Computation","year":1999,"publication_date":"1999-02-10","venue":"","journal":{"name":"Physical Review A","pages":"1944-1955","volume":"60"},"journal_issn":null,"journal_title":null,"publication_types":[],"pubmed_pub_types":null,"s2_fields_of_study":["Physics"],"reference_count":10,"citation_count":103,"influential_citation_count":4,"is_open_access":true,"arxiv_categories":["quant-ph"],"arxiv_license":null,"arxiv_journal_ref":"Phys.Rev. A60 (1999) 1944","mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":"https://arxiv.org/pdf/quant-ph/9902041","s2_open_access_landing_url":"https://www.semanticscholar.org/paper/19cb9731170669f847835ae2cf884750d87ee247","s2_open_access_license":null,"s2_open_access_status":"GREEN","pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"It was shown recently [D.A. Lidar et al., Phys. Rev. Lett. 81, 2594 (1998)] that within the framework of the semigroup Markovian master equation, decoherence-free (DF) subspaces exist which are stable to first order in time to a perturbation. Here this result is extended to the non-Markovian regime and generalized. In particular, it is shown that within both the semigroup and the non-Markovian operator sum representation, DF subspaces are stable to all orders in time to a symmetry-breaking perturbation. DF subspaces are thus ideal for quantum memory applications. For quantum computation, however, the stability result does not extend beyond the first order. Thus, to perform robust quantum computation in DF subspaces, they must be supplemented with quantum error correcting codes.","claims":[{"public_id":"cl_8f110da74d7ad5e15187c13fb3cda9eb","status":"active","text":"Decoherence-free subspaces are ideal for quantum memory applications due to their stability to all orders in time.","confidence":0.9,"contributors":[{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["extraction"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_8f110da74d7ad5e15187c13fb3cda9eb"},{"public_id":"cl_1f8fe150815a07bf5cc9e21a6bac396a","status":"active","text":"Decoherence-free subspaces are stable to all orders in time to a symmetry-breaking perturbation within both the semigroup and the non-Markovian operator sum representation.","confidence":0.95,"contributors":[{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["extraction"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_1f8fe150815a07bf5cc9e21a6bac396a"},{"public_id":"cl_6ca086d562bd1c9328284be4af2e10c0","status":"active","text":"For quantum computation, the stability result of decoherence-free subspaces does not extend beyond first order, requiring supplementation with quantum error correcting codes.","confidence":0.95,"contributors":[{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["extraction"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_6ca086d562bd1c9328284be4af2e10c0"}],"concepts":[{"public_id":"co_0668d685c8d51dceb4e7cc657f210f0a","status":"active","name":"decoherence-free subspaces","description":"Subspaces of a quantum system's Hilbert space that are immune to decoherence under a given system-environment interaction.","types":["theoretical concept"],"aliases":["DF subspaces"],"contributors":[{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["extraction"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_0668d685c8d51dceb4e7cc657f210f0a"},{"public_id":"co_0a7b981d15326a8251c6d88dcfdfbf22","status":"active","name":"quantum memory","description":"A device or subsystem that stores quantum information, for which decoherence-free subspaces are ideal due to their stability.","types":["application"],"aliases":[],"contributors":[{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["extraction"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_0a7b981d15326a8251c6d88dcfdfbf22"},{"public_id":"co_2c6963db782a40bb36a93d064b551b51","status":"active","name":"quantum computation","description":"Computation performed using quantum mechanical systems, here considered as an application of decoherence-free subspaces.","types":["application"],"aliases":[],"contributors":[{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["extraction"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_2c6963db782a40bb36a93d064b551b51"},{"public_id":"co_88578ff9cae267aae5c0c4ac7273fd16","status":"active","name":"quantum error correcting codes","description":"Codes that protect quantum information from errors due to decoherence and other noise, used to supplement decoherence-free subspaces for robust quantum computation.","types":["method"],"aliases":[],"contributors":[{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["extraction"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_88578ff9cae267aae5c0c4ac7273fd16"},{"public_id":"co_af441b71cb15f81ce4873ae4ef5cfd96","status":"active","name":"semigroup Markovian master equation","description":"A Markovian master equation of the Lindblad form used to describe open quantum system dynamics.","types":["mathematical framework"],"aliases":[],"contributors":[{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["extraction"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_af441b71cb15f81ce4873ae4ef5cfd96"},{"public_id":"co_e7564ed05419f8e302dd2e7357307a3a","status":"active","name":"non-Markovian operator sum representation","description":"A representation of quantum operations that accounts for non-Markovian (memory) effects in the system-environment evolution.","types":["mathematical framework"],"aliases":[],"contributors":[{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["extraction"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_e7564ed05419f8e302dd2e7357307a3a"},{"public_id":"co_ed621c5c3bc2b9acd62e1c837927367e","status":"active","name":"symmetry-breaking perturbation","description":"A perturbation that breaks the symmetry responsible for the existence of decoherence-free subspaces.","types":["perturbation"],"aliases":[],"contributors":[{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["extraction"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_ed621c5c3bc2b9acd62e1c837927367e"}],"external_ids":{"DOI":"10.1103/PhysRevA.60.1944","ArXiv":"quant-ph/9902041","PubMed":null,"PubMedCentral":null,"MAG":2067910209,"DBLP":null,"ACL":null},"open_access":{"is_open_access":true,"pdf_url":"https://arxiv.org/pdf/quant-ph/9902041","landing_url":"https://www.semanticscholar.org/paper/19cb9731170669f847835ae2cf884750d87ee247","source":"semantic_scholar","pdf_url_source":"semantic_scholar_open_access_pdf","license":null,"status":"GREEN","reason":null},"reference_availability":{"status":"available","references_indexed":true,"full_text_available":true,"full_text_source":"arxiv","count_basis":"semantic_scholar_metadata","extraction_status":"not_applicable","reason":null},"source":{"provider":"episteme2","base_corpus":"semantic_scholar_dump","freshness_mode":"unknown","basis":["semantic_scholar_metadata","postgres_metadata"],"limits":["paper metadata is based on indexed upstream scholarly datasets","claims and concepts are available only for extracted papers","absence of claims or concepts means no extracted graph data is available in this response"],"status":"available","degraded":false,"degraded_reasons":[],"diagnostics":{"status":"available","degraded":false,"degraded_reasons":[],"metadata_status":"available","graph_status":"available","abstract_status":"available"},"source_flags":1},"paper_id":633562,"paper_uid":"7282f5b4-7bd6-4ab2-a54b-21da33f9e7e1","canonical_identity":{"paper_id":633562,"paper_uid":"7282f5b4-7bd6-4ab2-a54b-21da33f9e7e1","identity_status":"available","lookup_basis":"semantic_scholar_external_id","compatibility_path":"corpus_id"},"url":"https://sah.borca.ai/papers/38504438"}