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Crispin William Gardiner is a New Zealand physicist, who has worked in the fields of Quantum Optics, Ultracold Atoms and Stochastic Processes. He has written about 120 journal articles and several books in the fields of quantum optics, stochastic processes and ultracold atoms
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Warwick Bowen is an Australian quantum physicist and nanotechnologist at The University of Queensland. He leads the Quantum Optics Laboratory, is Director of the UQ Precision Sensing Initiative and is one of three Theme Leaders of the Australian Centre for Engineered Quantum Systems.
Relativistic quantum cryptography is a sub-field of quantum cryptography, in which in addition to exploiting the principles of quantum physics, the no-superluminal signalling principle of relativity theory stating that information cannot travel faster than light is exploited too. Technically speaking, relativistic quantum cryptography is a sub-field of relativistic cryptography, in which cryptographic protocols exploit the no-superluminal signalling principle, independently of whether quantum properties are used or not. However, in practice, the term relativistic quantum cryptography is used for relativistic cryptography too.
The Eastin–Knill theorem is a no-go theorem that states: "No quantum error correcting code can have a continuous symmetry which acts transversely on physical qubits". In other words, no quantum error correcting code can transversely implement a universal gate set. Since quantum computers are inherently noisy, quantum error correcting codes are used to correct errors that affect information due to decoherence. Decoding error corrected data in order to perform gates on the qubits makes it prone to errors. Fault tolerant quantum computation avoids this by performing gates on encoded data. Transversal gates, which perform a gate between two "logical" qubits each of which is encoded in N "physical qubits" by pairing up the physical qubits of each encoded qubit, and performing independent gates on each pair, can be used to perform fault tolerant but not universal quantum computation because they guarantee that errors don't spread uncontrollably through the computation. This is because transversal gates ensure that each qubit in a code block is acted on by at most a single physical gate and each code block is corrected independently when an error occurs. Due to the Eastin–Knill theorem, a universal set like {H, S, CNOT, T} gates can't be implemented transversally. For example, the T gate can't be implemented transversely in the Steane code. This calls for ways of circumventing Eastin–Knill in order to perform fault tolerant quantum computation. In addition to investigating fault tolerant quantum computation, the Eastin–Knill theorem is also useful for studying quantum gravity via the AdS/CFT correspondence and in condensed matter physics via quantum reference frame or many-body theory.
References
- ↑ "Centre for Quantum Computer and Communication Technology". Archived from the original on 15 February 2011.
- ↑ Ralph, T. C. (8 December 1999). "Phys. Rev.A 61 (2000) 010302". Physical Review A. 61 (1): 010303. arXiv: quant-ph/9907073 . doi:10.1103/PhysRevA.61.010303.
- ↑ Menicucci, N. C.; Van Loock, P.; Gu, M.; Weedbrook, C.; Ralph, T. C.; Nielsen, M. A. (2006). "Physical Rev Lett 97.11 (2006): 110501" (PDF). Physical Review Letters. 97 (11): 110501. arXiv: quant-ph/0605198 . doi:10.1103/PhysRevLett.97.110501. PMID 17025869. S2CID 14715751.
- ↑ "University of Queensland News".