We have therefore an interesting situation in that the name is Hebrew,… e-mail: langlois@lri.lri.fr.
However, not much is known about physical systems, or even microscopic models, that exhibit topological phases with non-abelian quasiparticle excitations. Universal resources for approximate and stochastic measurement-based quantum computation. emerging connection may deepen our understanding, through new representations of extra-special two-groups, of quantum error correction and topological quantum computation. ���I���6�$P�" Fifty-one eminent scientists have become Fellows of the Royal Society, as well as ten new Foreign Members and one Honorary Fellow for their exceptional contributions to science. “This year’s newly elected Fellows and Foreign Members of the Royal Society embody this, being drawn from diverse fields of enquiry—epidemiology, geometry, climatology—at once disparate, but also aligned in their pursuit and contributions of knowledge about the world in which we live, and it is with great honour that I welcome them as Fellows of the Royal Society.”. (* The first part of the talk is based on ongoing work with, Simone Severini, Stefano Mancini and Andrea Casaccino, while the second part is based on work with Vladimir Korepin and Christopher Hadley), Fundamentals of universality in one-way quantum computation, We study different notions of universality in quantum computation.
You currently have JavaScript disabled in your web browser, please enable JavaScript to view our website as intended. We give an overview of several connections between topics in quantum information theory, graph theory, and statistical mechanics. We also discuss the use of authentication in order for Alice to detect an uncooperative Bob. In the second we use the fact that subsystem coding can simplify the decoding process. Moreover, the depth of the one-way quantum computation is upper-bounded by the depth of the generalized flow. This concept has been enormously useful in classical computer science. These topics focus on local properties of graphs, how they interplay with global properties of graphs, and how these properties are used in quantum information processing and other areas. It is with great honour that I welcome them as Fellows of the Royal Society. You currently have JavaScript disabled in your web browser, please enable JavaScript to view our website as intended. 0000097900 00000 n << /Filter /FlateDecode /S 229 /Length 215 >> 47 36 I'll talk about relations between them, efficient constructions, and possible applications. The talk will be based more on conjecture than fact, but I will present one new result based on joint work with Sang-il Oum. Pseudo-random quantum states and operations.
Richard Jozsa FRS is an Australian mathematician who holds the Leigh Trapnell Chair in Quantum Physics at the University of Cambridge. << /CAPT_Info << /D [ [ (English Medical) (English Science) () ] [ (Default) () ] ] /L [ (English US) (English UK) ] >> /PageLabels 45 0 R /Pages 32 0 R /Type /Catalog >> Measures of connectivity and entanglement. We also briefly report news on novel measurement-based models of quantum computing, based on quantum systems distributed on a graph, beyond one-way computing. 0000095020 00000 n The first is the study of quantum communication using systems of perpetually interacting qubits (or spins) as a databus. Registered charity number 207043, (Lines open Mon-Fri, 9:00-17:00. Rev. The University of Cambridge will use your email address to send you our daily news digest email. 0000001057 00000 n This scheme is interesting because of its potential for scalability, although issues of error correction and fault tolerance are yet to be fully addressed. 48 0 obj By considering different settings, we shall answer this question both in the negative and positive, and draw some striking connections with some well-known techniques from models of generalised no-signalling theories. This motivates the question of what resource states would be universal for classical computation, if the control computer is in the CNOT class. Ground-code measurement-based quantum computer. We would like to show you a description here but the site won’t allow us. Quantum Simulations of Classical Annealing Processes. Extending this approach, we first present the semantics of quantum circuits with time-like curves in terms of post-selection quantum computing and then characterise the class of curves with unitary or completely-positive semantic.
We shall answer this question with several examples. Richard Jozsa FRS is an Australian mathematician who holds the Leigh Trapnell Chair in Quantum Physics at the University of Cambridge. Richard M. Harland FRS is CH Li Distinguished Professor of Genetics, Genomics and Development at the University of California, Berkeley. [6], GisinâHughstonâJozsaâWootters theorem, "International Quantum Communication Award", "New Leigh Trapnell Professor of Quantum Physics". Our quantum algorithm provides quadratic speedups to find both, the solution to particular instances of COPs, and the preparation of (quantum) Gibbs' states. A pioneer of his field, he is the co-author of the DeutschâJozsa algorithm and one of the co-inventors of quantum teleportation. As a byproduct, one discovers thatM20, the smallest perfect group for which the commutator subgroup departs from the set of commutators, underlies quantum coherence of the two-qubit system. Certain structures arising in Physics (mub's and sic-povm's) can be viewed as sets of lines in complex space that are as large as possible, given some simple constraints on the angles between distinct lines. Joint work with Igor Markov, based on arXiv:0707.3622. 0000092162 00000 n 0000001244 00000 n Statistical Mechanical Models and Topological Color Codes. One-way quantum computing allows any quantum algorithm to be implemented by the sole use of single-qubit measurements. Yaoyun Shi, University of Michigan, Ann Arbor, USA, Graph expansions and simulating one-way quantum computation. (ii) Computation is processed by single-spin measurements along multiple chains dynamically coupled on demand, so as to keep teleporting only logical information into a gap-protected ground state of the rest chains after the interactions with spins to be measured are adiabatically turned off. Our protocol is interactive: after the initial preparation of quantum states, Alice and Bob use two-way classical communication which enables Alice to drive the computation, giving single-qubit measurement instructions to Bob, depending on previous measurement outcomes. We shall show that this classical computer need not be classically universal, and can instead by performed by a limited power "CNOT computer" - a reversible classical computer whose generating gate set consists of CNOT and NOT. Please help us improve this page by taking our, The Royal Society is a Fellowship of many of the world's most eminent
Finite group extensions offer a natural language to quantum computing. Based on joint work with Joseph Fitzsimons and Elham Kashefi, Dan Browne, University College London, UK. Richard Jozsa is the holder of the Leigh Trapnell Chair in Quantum Physics at the University of Cambridge. Jozsa has held previous positions at the University of Bristol, the University of Plymouth and the Université de Montréal. %%EOF %PDF-1.3 49 0 obj
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Comp. 0000001539 00000 n In either case, the universality property can be understood as arising from an efficient simulation of a programmable quantum circuit. If the above description fails to move you, don't worry, there will be pretty pictures. We find that wide parts of the phase diagram are covered by non-abelian topological phases, and reveal the role of topology in determining the essential properties of these phases.
We complement the meaurement-based computation with the construction of a cluster state that yields the topological color code and this also gives the possibility to represent statistical models with external magnetic fields.
[5] Since 2016, Jozsa is a member of the Academia Europaea. In the one-way model [1], computation proceeds by adaptive single-qubit measurements on a multi-qubit entangled "cluster state". Dr Yusuf K Hamied, an alumnus of Christ's College and a generous donor to the University, has also been elected an Honorary Fellow. Alice only needs to be able to prepare single qubits from a finite set and send them to Bob, who has the balance of the required quantum computational resources. These techniques can be used to prove that that there exist models which are "complete" in the sense that every other model can be viewed as a special instance of such a complete model via a polynomial reduction.
Copyright © 2020 The Royal Society. This is joint work with Janet Anders.
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