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Linear and Multilinear Algebra Volume 57, 2009 - Issue 5: Special Issue on The Numerical Range and Numerical Radius
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Original Articles

Research problems on numerical ranges in quantum computing

David W. Kribs Department of Mathematics and Statistics, University of Guelph, Guelph, ON, N1G 2W1, Canada; Institute for Quantum Computing, University of Waterloo, Waterloo, ON, N2L 3G1, CanadaCorrespondence[email protected]
,
Aron Pasieka Department of Physics, University of Guelph, Guelph, ON, N1G 2W1, Canada
,
Martin Laforest Institute for Quantum Computing, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
,
Colm Ryan Institute for Quantum Computing, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
&
Marcus P. da Silva Département de Physique, Université de Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada
Pages 491-502 | Received 06 Oct 2008, Accepted 08 Dec 2008, Published online: 22 Jun 2009

Citations (16)

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Read on this site (4)

Ningping Cao, David W. Kribs, Chi-Kwong Li, Mike I. Nelson, Yiu-Tung Poon & Bei Zeng. (2021) Higher rank matricial ranges and hybrid quantum error correction. Linear and Multilinear Algebra 69:5, pages 827-839.
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Martín Argerami & Saleh Mustafa. (2021) Higher rank numerical ranges of Jordan-like matrices. Linear and Multilinear Algebra 69:5, pages 807-826.
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Sayyed Ahmad Mousavi & Abbas Salemi. (2016) Quantum error correction for a subgroup of the Pauli group using higher rank numerical range. Linear and Multilinear Algebra 64:1, pages 68-77.
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Sayyed Ahmad Mousavi & Abbas Salemi. (2015) Joint higher rank numerical range of Pauli group. Linear and Multilinear Algebra 63:3, pages 439-454.
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Articles from other publishers (12)

Alex Khang, Kali Charan Rath, Nalinikanta Panda & Amaresh Kumar. 2024. Applications and Principles of Quantum Computing. Applications and Principles of Quantum Computing 1 24 .
Jie Xie, Aonan Zhang, Ningping Cao, Huichao Xu, Kaimin Zheng, Yiu-Tung Poon, Nung-Sing Sze, Ping Xu, Bei Zeng & Lijian Zhang. (2020) Observing Geometry of Quantum States in a Three-Level System. Physical Review Letters 125:15.
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Abu Kamruzzaman, Yousef Alhwaiti, Avery Leider & Charles C. Tappert. 2020. Advances in Information and Communication. Advances in Information and Communication 299 311 .
Alexander Guterman, Rute Lemos & Graça Soares. (2019) More on geometry of Krein space C-numerical range. Applied Mathematics and Computation 352, pages 258-269.
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Hamid Reza Afshin, Mohammad Ali Mehrjoofard & Akbar Zare Chavoshi. (2018) Pauli group: Classification and joint higher rank numerical range. Linear Algebra and its Applications 549, pages 136-152.
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Rajesh Pereira & Connor Paul-Paddock. (2017) Anticoherent subspaces. Journal of Mathematical Physics 58:6.
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Alexander Guterman, Rute Lemos & Graça Soares. (2016) On the C-determinantal range for special classes of matrices. Applied Mathematics and Computation 275, pages 86-94.
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Eugene Gutkin & Karol Życzkowski. (2013) Joint numerical ranges, quantum maps, and joint numerical shadows. Linear Algebra and its Applications 438:5, pages 2394-2404.
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Zbigniew Puchała, Jarosław Adam Miszczak, Piotr Gawron, Charles F Dunkl, John A Holbrook & Karol Życzkowski. (2012) Restricted numerical shadow and the geometry of quantum entanglement. Journal of Physics A: Mathematical and Theoretical 45:41, pages 415309.
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Hong-Ke Du, Yan-Ni Dou, Hai-Yan Zhang & Ling-Min Shen. (2011) A generalization of Gudder–Nagy's theorem with numerical ranges of operators. Journal of Mathematical Physics 52:2.
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Zbigniew Puchała, Piotr Gawron, Jarosław Adam Miszczak, Łukasz Skowronek, Man-Duen Choi & Karol Życzkowski. (2011) Product numerical range in a space with tensor product structure. Linear Algebra and its Applications 434:1, pages 327-342.
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Piotr Gawron, Zbigniew Puchała, Jarosław Adam Miszczak, Łukasz Skowronek & Karol Życzkowski. (2010) Restricted numerical range: A versatile tool in the theory of quantum information. Journal of Mathematical Physics 51:10.
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