Error Correction of Quantum Reference Frame Information
Title: Error Correction of Quantum Reference Frame Information Speaker: Patrick Hayden Agenda: 6:00 P.M. Refreshments and Conversation 6:30 P.M. Presentation Abstract: Abstract: The existence of quantum error correcting codes is one of the most counterintuitive and potentially technologically important discoveries of quantum information theory. However, standard error correction refers to abstract quantum information, i.e., information that is independent of the physical incarnation of the systems used for storing the information. There are, however, other forms of information that are physical – one of the most ubiquitous being reference frame information. Here we analyze the problem of error correcting physical information. The basic question we seek to answer is whether or not such error correction is possible and, if so, what limitations govern the process. The main challenge is that the systems used for transmitting physical information, in addition to any actions applied to them, must necessarily obey these limitations. Encoding and decoding operations that obey a restrictive set of limitations need not exist a priori. We focus on the case of erasure errors, and we first show that the problem is equivalent to quantum error correction using group-covariant encodings. We give an explicit example of a covariant quantum error correcting code using continuous variables for the group U(1). Speaker's Biography: Patrick Hayden is a professor of physics at Stanford University. Prior to joining Stanford, Hayden was the Canada Research Chair in the Physics of Information at McGill University. He is currently a Simons Investigator, distinguished research chair of the Perimeter Institute for Theoretical Physics, and senior fellow of the Canadian Institute for Advanced Research. Hayden’s research focuses on understanding the ultimate limits physics imposes on information processing, and finding ways to exploit quantum mechanics to achieve otherwise impossible communications and computing goals. Recently he has also been applying the methods of quantum information theory to the study of black hole physics and quantum gravity
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Stanford, CA 94305
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