We present two quantum union bounds for sequential projective measurements. These bounds estimate the disturbance accumulation and probability of outcomes when the measurements are performed sequentially. These results are based on a trigonometric representation of quantum states and should have wide application in quantum information theory for information-processing tasks such as communication and state discrimination, and perhaps even in the analysis of quantum algorithms.
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Korea Inst Adv Study, Sch Computat Sci, Seoul 02455, South KoreaKorea Inst Adv Study, Sch Computat Sci, Seoul 02455, South Korea
Sohbi, Adel
Markham, Damian
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Sorbonne Univ, Univ Pierre & Marie Curie, CNRS, LIP6, F-75005 Paris, France
Univ Tokyo, Natl Inst Informat, CNRS, JFLI, Tokyo, JapanKorea Inst Adv Study, Sch Computat Sci, Seoul 02455, South Korea
Markham, Damian
Kim, Jaewan
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Korea Inst Adv Study, Sch Computat Sci, Seoul 02455, South KoreaKorea Inst Adv Study, Sch Computat Sci, Seoul 02455, South Korea
Kim, Jaewan
Quintino, Marco Tulio
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Univ Vienna, Fac Phys, Vienna Ctr Quantum Sci & Technol VCQ, Boltzmanngasse 5, A-1090 Vienna, Austria
Austrian Acad Sci, Inst Quantum Opt & Quantum Informat IQOQI, Boltzmanngasse 3, A-1090 Vienna, AustriaKorea Inst Adv Study, Sch Computat Sci, Seoul 02455, South Korea
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Tel Aviv Univ, Raymond & Beverly Sackler Sch Phys & Astron, IL-69978 Tel Aviv, IsraelTel Aviv Univ, Raymond & Beverly Sackler Sch Phys & Astron, IL-69978 Tel Aviv, Israel
机构:
Chinese Acad Sci, Inst Semicond, State Key Lab Superlatt & Microstruct, Beijing 100083, Peoples R China
Univ Chinese Acad Sci, Ctr Mat Sci & Optoelect Technol, Beijing 100049, Peoples R ChinaChinese Acad Sci, Inst Semicond, State Key Lab Superlatt & Microstruct, Beijing 100083, Peoples R China
Ma, Wen -Long
Li, Shu-Shen
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Chinese Acad Sci, Inst Semicond, State Key Lab Superlatt & Microstruct, Beijing 100083, Peoples R China
Univ Chinese Acad Sci, Ctr Mat Sci & Optoelect Technol, Beijing 100049, Peoples R ChinaChinese Acad Sci, Inst Semicond, State Key Lab Superlatt & Microstruct, Beijing 100083, Peoples R China
Li, Shu-Shen
Liu, Ren-Bao
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Chinese Univ Hong Kong, Dept Phys, Ctr Quantum Coherence, Shatin, Hong Kong, Peoples R China
Chinese Univ Hong Kong, Hong Kong Inst Quantum Informat Sci & Technol, Shatin, Hong Kong, Peoples R ChinaChinese Acad Sci, Inst Semicond, State Key Lab Superlatt & Microstruct, Beijing 100083, Peoples R China