Quantum Subdivision Capacities and Continuous-Time Quantum Coding
Quantum memories can be regarded as quantum channels that transmit information through time without moving it through space. Aiming at a reliable storage of information, we may thus not only encode at the beginning and decode at the end, but also intervene during the transmission-a possibility not c...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Muller-Hermes, Alexander [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Schlagwörter: |
continuous-time quantum coding information storage reliability |
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| Systematik: |
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| Übergeordnetes Werk: |
Enthalten in: IEEE transactions on information theory - Piscataway, NJ : IEEE, 1963, 61(2015), 1, Seite 565-581 |
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| Übergeordnetes Werk: |
volume:61 ; year:2015 ; number:1 ; pages:565-581 |
| Links: |
|---|
| DOI / URN: |
10.1109/TIT.2014.2366456 |
|---|
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OLC1963912365 |
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| 520 | |a Quantum memories can be regarded as quantum channels that transmit information through time without moving it through space. Aiming at a reliable storage of information, we may thus not only encode at the beginning and decode at the end, but also intervene during the transmission-a possibility not captured by the ordinary capacities in quantum Shannon theory. In this paper, we introduce capacities that take this possibility into account and study them, in particular, for the transmission of quantum information via dynamical semigroups of Lindblad form. When the evolution is subdivided and supplemented by additional continuous semigroups acting on arbitrary block sizes, we show that the capacity of the ideal channel can be obtained in all cases. If the supplementary evolution is reversible, however, this is no longer the case. Upper and lower bounds for this scenario are proven. Finally, we provide a continuous coding scheme and simple examples showing that adding a purely dissipative term to a Liouvillian can sometimes increase the quantum capacity. | ||
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10.1109/TIT.2014.2366456 doi PQ20160617 (DE-627)OLC1963912365 (DE-599)GBVOLC1963912365 (PRQ)a2475-c4512f132b20af7f5c3f3afe8e7db0939b8aee53d1521fdd1f69f1aad2bd16a70 (KEY)0023448620150000061000100565quantumsubdivisioncapacitiesandcontinuoustimequant DE-627 ger DE-627 rakwb eng 070 620 DNB SA 5570 AVZ rvk Muller-Hermes, Alexander verfasserin aut Quantum Subdivision Capacities and Continuous-Time Quantum Coding 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Quantum memories can be regarded as quantum channels that transmit information through time without moving it through space. Aiming at a reliable storage of information, we may thus not only encode at the beginning and decode at the end, but also intervene during the transmission-a possibility not captured by the ordinary capacities in quantum Shannon theory. In this paper, we introduce capacities that take this possibility into account and study them, in particular, for the transmission of quantum information via dynamical semigroups of Lindblad form. When the evolution is subdivided and supplemented by additional continuous semigroups acting on arbitrary block sizes, we show that the capacity of the ideal channel can be obtained in all cases. If the supplementary evolution is reversible, however, this is no longer the case. Upper and lower bounds for this scenario are proven. Finally, we provide a continuous coding scheme and simple examples showing that adding a purely dissipative term to a Liouvillian can sometimes increase the quantum capacity. quantum subdivision capacitiy quantum Shannon theory quantum information Quantum mechanics quantum channel channel coding Relays quantum capacity continuous-time quantum coding Markovian dynamics decoding quantum memories information storage reliability Information processing Lindblad form quantum information transmission Noise quantum communication Quantum theory Codes Quantum physics Information dissemination Quantum Physics Mathematical Physics Reeb, David oth Wolf, Michael M oth Enthalten in IEEE transactions on information theory Piscataway, NJ : IEEE, 1963 61(2015), 1, Seite 565-581 (DE-627)12954731X (DE-600)218505-2 (DE-576)01499819X 0018-9448 nnns volume:61 year:2015 number:1 pages:565-581 http://dx.doi.org/10.1109/TIT.2014.2366456 Volltext http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6948359 http://search.proquest.com/docview/1644762744 http://arxiv.org/abs/1310.2856 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OLC-BUB SSG-OPC-BBI GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2088 GBV_ILN_4318 SA 5570 AR 61 2015 1 565-581 |
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10.1109/TIT.2014.2366456 doi PQ20160617 (DE-627)OLC1963912365 (DE-599)GBVOLC1963912365 (PRQ)a2475-c4512f132b20af7f5c3f3afe8e7db0939b8aee53d1521fdd1f69f1aad2bd16a70 (KEY)0023448620150000061000100565quantumsubdivisioncapacitiesandcontinuoustimequant DE-627 ger DE-627 rakwb eng 070 620 DNB SA 5570 AVZ rvk Muller-Hermes, Alexander verfasserin aut Quantum Subdivision Capacities and Continuous-Time Quantum Coding 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Quantum memories can be regarded as quantum channels that transmit information through time without moving it through space. Aiming at a reliable storage of information, we may thus not only encode at the beginning and decode at the end, but also intervene during the transmission-a possibility not captured by the ordinary capacities in quantum Shannon theory. In this paper, we introduce capacities that take this possibility into account and study them, in particular, for the transmission of quantum information via dynamical semigroups of Lindblad form. When the evolution is subdivided and supplemented by additional continuous semigroups acting on arbitrary block sizes, we show that the capacity of the ideal channel can be obtained in all cases. If the supplementary evolution is reversible, however, this is no longer the case. Upper and lower bounds for this scenario are proven. Finally, we provide a continuous coding scheme and simple examples showing that adding a purely dissipative term to a Liouvillian can sometimes increase the quantum capacity. quantum subdivision capacitiy quantum Shannon theory quantum information Quantum mechanics quantum channel channel coding Relays quantum capacity continuous-time quantum coding Markovian dynamics decoding quantum memories information storage reliability Information processing Lindblad form quantum information transmission Noise quantum communication Quantum theory Codes Quantum physics Information dissemination Quantum Physics Mathematical Physics Reeb, David oth Wolf, Michael M oth Enthalten in IEEE transactions on information theory Piscataway, NJ : IEEE, 1963 61(2015), 1, Seite 565-581 (DE-627)12954731X (DE-600)218505-2 (DE-576)01499819X 0018-9448 nnns volume:61 year:2015 number:1 pages:565-581 http://dx.doi.org/10.1109/TIT.2014.2366456 Volltext http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6948359 http://search.proquest.com/docview/1644762744 http://arxiv.org/abs/1310.2856 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OLC-BUB SSG-OPC-BBI GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2088 GBV_ILN_4318 SA 5570 AR 61 2015 1 565-581 |
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10.1109/TIT.2014.2366456 doi PQ20160617 (DE-627)OLC1963912365 (DE-599)GBVOLC1963912365 (PRQ)a2475-c4512f132b20af7f5c3f3afe8e7db0939b8aee53d1521fdd1f69f1aad2bd16a70 (KEY)0023448620150000061000100565quantumsubdivisioncapacitiesandcontinuoustimequant DE-627 ger DE-627 rakwb eng 070 620 DNB SA 5570 AVZ rvk Muller-Hermes, Alexander verfasserin aut Quantum Subdivision Capacities and Continuous-Time Quantum Coding 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Quantum memories can be regarded as quantum channels that transmit information through time without moving it through space. Aiming at a reliable storage of information, we may thus not only encode at the beginning and decode at the end, but also intervene during the transmission-a possibility not captured by the ordinary capacities in quantum Shannon theory. In this paper, we introduce capacities that take this possibility into account and study them, in particular, for the transmission of quantum information via dynamical semigroups of Lindblad form. When the evolution is subdivided and supplemented by additional continuous semigroups acting on arbitrary block sizes, we show that the capacity of the ideal channel can be obtained in all cases. If the supplementary evolution is reversible, however, this is no longer the case. Upper and lower bounds for this scenario are proven. Finally, we provide a continuous coding scheme and simple examples showing that adding a purely dissipative term to a Liouvillian can sometimes increase the quantum capacity. quantum subdivision capacitiy quantum Shannon theory quantum information Quantum mechanics quantum channel channel coding Relays quantum capacity continuous-time quantum coding Markovian dynamics decoding quantum memories information storage reliability Information processing Lindblad form quantum information transmission Noise quantum communication Quantum theory Codes Quantum physics Information dissemination Quantum Physics Mathematical Physics Reeb, David oth Wolf, Michael M oth Enthalten in IEEE transactions on information theory Piscataway, NJ : IEEE, 1963 61(2015), 1, Seite 565-581 (DE-627)12954731X (DE-600)218505-2 (DE-576)01499819X 0018-9448 nnns volume:61 year:2015 number:1 pages:565-581 http://dx.doi.org/10.1109/TIT.2014.2366456 Volltext http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6948359 http://search.proquest.com/docview/1644762744 http://arxiv.org/abs/1310.2856 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OLC-BUB SSG-OPC-BBI GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2088 GBV_ILN_4318 SA 5570 AR 61 2015 1 565-581 |
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10.1109/TIT.2014.2366456 doi PQ20160617 (DE-627)OLC1963912365 (DE-599)GBVOLC1963912365 (PRQ)a2475-c4512f132b20af7f5c3f3afe8e7db0939b8aee53d1521fdd1f69f1aad2bd16a70 (KEY)0023448620150000061000100565quantumsubdivisioncapacitiesandcontinuoustimequant DE-627 ger DE-627 rakwb eng 070 620 DNB SA 5570 AVZ rvk Muller-Hermes, Alexander verfasserin aut Quantum Subdivision Capacities and Continuous-Time Quantum Coding 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Quantum memories can be regarded as quantum channels that transmit information through time without moving it through space. Aiming at a reliable storage of information, we may thus not only encode at the beginning and decode at the end, but also intervene during the transmission-a possibility not captured by the ordinary capacities in quantum Shannon theory. In this paper, we introduce capacities that take this possibility into account and study them, in particular, for the transmission of quantum information via dynamical semigroups of Lindblad form. When the evolution is subdivided and supplemented by additional continuous semigroups acting on arbitrary block sizes, we show that the capacity of the ideal channel can be obtained in all cases. If the supplementary evolution is reversible, however, this is no longer the case. Upper and lower bounds for this scenario are proven. Finally, we provide a continuous coding scheme and simple examples showing that adding a purely dissipative term to a Liouvillian can sometimes increase the quantum capacity. quantum subdivision capacitiy quantum Shannon theory quantum information Quantum mechanics quantum channel channel coding Relays quantum capacity continuous-time quantum coding Markovian dynamics decoding quantum memories information storage reliability Information processing Lindblad form quantum information transmission Noise quantum communication Quantum theory Codes Quantum physics Information dissemination Quantum Physics Mathematical Physics Reeb, David oth Wolf, Michael M oth Enthalten in IEEE transactions on information theory Piscataway, NJ : IEEE, 1963 61(2015), 1, Seite 565-581 (DE-627)12954731X (DE-600)218505-2 (DE-576)01499819X 0018-9448 nnns volume:61 year:2015 number:1 pages:565-581 http://dx.doi.org/10.1109/TIT.2014.2366456 Volltext http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6948359 http://search.proquest.com/docview/1644762744 http://arxiv.org/abs/1310.2856 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OLC-BUB SSG-OPC-BBI GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2088 GBV_ILN_4318 SA 5570 AR 61 2015 1 565-581 |
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10.1109/TIT.2014.2366456 doi PQ20160617 (DE-627)OLC1963912365 (DE-599)GBVOLC1963912365 (PRQ)a2475-c4512f132b20af7f5c3f3afe8e7db0939b8aee53d1521fdd1f69f1aad2bd16a70 (KEY)0023448620150000061000100565quantumsubdivisioncapacitiesandcontinuoustimequant DE-627 ger DE-627 rakwb eng 070 620 DNB SA 5570 AVZ rvk Muller-Hermes, Alexander verfasserin aut Quantum Subdivision Capacities and Continuous-Time Quantum Coding 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Quantum memories can be regarded as quantum channels that transmit information through time without moving it through space. Aiming at a reliable storage of information, we may thus not only encode at the beginning and decode at the end, but also intervene during the transmission-a possibility not captured by the ordinary capacities in quantum Shannon theory. In this paper, we introduce capacities that take this possibility into account and study them, in particular, for the transmission of quantum information via dynamical semigroups of Lindblad form. When the evolution is subdivided and supplemented by additional continuous semigroups acting on arbitrary block sizes, we show that the capacity of the ideal channel can be obtained in all cases. If the supplementary evolution is reversible, however, this is no longer the case. Upper and lower bounds for this scenario are proven. Finally, we provide a continuous coding scheme and simple examples showing that adding a purely dissipative term to a Liouvillian can sometimes increase the quantum capacity. quantum subdivision capacitiy quantum Shannon theory quantum information Quantum mechanics quantum channel channel coding Relays quantum capacity continuous-time quantum coding Markovian dynamics decoding quantum memories information storage reliability Information processing Lindblad form quantum information transmission Noise quantum communication Quantum theory Codes Quantum physics Information dissemination Quantum Physics Mathematical Physics Reeb, David oth Wolf, Michael M oth Enthalten in IEEE transactions on information theory Piscataway, NJ : IEEE, 1963 61(2015), 1, Seite 565-581 (DE-627)12954731X (DE-600)218505-2 (DE-576)01499819X 0018-9448 nnns volume:61 year:2015 number:1 pages:565-581 http://dx.doi.org/10.1109/TIT.2014.2366456 Volltext http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6948359 http://search.proquest.com/docview/1644762744 http://arxiv.org/abs/1310.2856 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OLC-BUB SSG-OPC-BBI GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2088 GBV_ILN_4318 SA 5570 AR 61 2015 1 565-581 |
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Quantum memories can be regarded as quantum channels that transmit information through time without moving it through space. Aiming at a reliable storage of information, we may thus not only encode at the beginning and decode at the end, but also intervene during the transmission-a possibility not captured by the ordinary capacities in quantum Shannon theory. In this paper, we introduce capacities that take this possibility into account and study them, in particular, for the transmission of quantum information via dynamical semigroups of Lindblad form. When the evolution is subdivided and supplemented by additional continuous semigroups acting on arbitrary block sizes, we show that the capacity of the ideal channel can be obtained in all cases. If the supplementary evolution is reversible, however, this is no longer the case. Upper and lower bounds for this scenario are proven. Finally, we provide a continuous coding scheme and simple examples showing that adding a purely dissipative term to a Liouvillian can sometimes increase the quantum capacity. |
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Quantum memories can be regarded as quantum channels that transmit information through time without moving it through space. Aiming at a reliable storage of information, we may thus not only encode at the beginning and decode at the end, but also intervene during the transmission-a possibility not captured by the ordinary capacities in quantum Shannon theory. In this paper, we introduce capacities that take this possibility into account and study them, in particular, for the transmission of quantum information via dynamical semigroups of Lindblad form. When the evolution is subdivided and supplemented by additional continuous semigroups acting on arbitrary block sizes, we show that the capacity of the ideal channel can be obtained in all cases. If the supplementary evolution is reversible, however, this is no longer the case. Upper and lower bounds for this scenario are proven. Finally, we provide a continuous coding scheme and simple examples showing that adding a purely dissipative term to a Liouvillian can sometimes increase the quantum capacity. |
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Quantum memories can be regarded as quantum channels that transmit information through time without moving it through space. Aiming at a reliable storage of information, we may thus not only encode at the beginning and decode at the end, but also intervene during the transmission-a possibility not captured by the ordinary capacities in quantum Shannon theory. In this paper, we introduce capacities that take this possibility into account and study them, in particular, for the transmission of quantum information via dynamical semigroups of Lindblad form. When the evolution is subdivided and supplemented by additional continuous semigroups acting on arbitrary block sizes, we show that the capacity of the ideal channel can be obtained in all cases. If the supplementary evolution is reversible, however, this is no longer the case. Upper and lower bounds for this scenario are proven. Finally, we provide a continuous coding scheme and simple examples showing that adding a purely dissipative term to a Liouvillian can sometimes increase the quantum capacity. |
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