Please use this identifier to cite or link to this item: https://doi.org/10.1109/TIT.2012.2191695
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dc.titleWeak decoupling duality and quantum identification
dc.contributor.authorHayden, P.
dc.contributor.authorWinter, A.
dc.date.accessioned2014-12-12T07:14:33Z
dc.date.available2014-12-12T07:14:33Z
dc.date.issued2012
dc.identifier.citationHayden, P., Winter, A. (2012). Weak decoupling duality and quantum identification. IEEE Transactions on Information Theory 58 (7) : 4914-4929. ScholarBank@NUS Repository. https://doi.org/10.1109/TIT.2012.2191695
dc.identifier.issn00189448
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/115357
dc.description.abstractIf a quantum system is subject to noise, it is possible to perform quantum error correction reversing the action of the noise if and only if no information about the system's quantum state leaks to the environment. In this paper, we develop an analogous duality in the case that the environment approximately forgets the identity of the quantum state, a weaker condition satisfied by Ε-randomizing maps and approximate unitary designs. Specifically, we show that the environment approximately forgets quantum states if and only if the original channel approximately preserves pairwise fidelities of pure inputs, an observation we call weak decoupling duality. Using this tool, we then go on to study the task of using the output of a channel to simulate restricted classes of measurements on a space of input states. The case of simulating measurements that test whether the input state is an arbitrary pure state is known as equality testing or quantum identification. An immediate consequence of weak decoupling duality is that the ability to perform quantum identification cannot be cloned. We, furthermore, establish that the optimal amortized rate at which quantum states can be identified through a noisy quantum channel is equal to the entanglement-assisted classical capacity of the channel, despite the fact that the task is quantum, not classical, and entanglement-assistance is not allowed. In particular, this rate is strictly positive for every nonconstant quantum channel, including classical channels. © 2012 IEEE.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1109/TIT.2012.2191695
dc.sourceScopus
dc.subjectIdentification capacity
dc.subjectquantum information
dc.subjectShannon theory
dc.typeArticle
dc.contributor.departmentCENTRE FOR QUANTUM TECHNOLOGIES
dc.description.doi10.1109/TIT.2012.2191695
dc.description.sourcetitleIEEE Transactions on Information Theory
dc.description.volume58
dc.description.issue7
dc.description.page4914-4929
dc.description.codenIETTA
dc.identifier.isiut000305575000054
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