# Akimasa Miyake

University of New Mexico

Area of Research:

## Research Interests

Akimasa Miyake earned his Ph.D in physics (in particular, quantum information) at the University of Tokyo in Japan. After the postdoctoral activity in the group of Prof. Hans Briegel at the University of Innsbruck in Austria, he started working at Perimeter Institute from the autumn of 2008 when the color of maple trees changed into the Canadian one.

He has worked in quantum computation, quantum information, and theory of entanglement in multipartite systems. His recent research interest focuses on quantum computation in terms of measurements to quantum entanglement. Not only is measurement-based quantum computation widely considered to be a promising route toward physical implementations of a quantum computer, but also its several features distinct conceptually from other quantum computational models make this model really fascinating. For instance, computational complexity reflects directly characteristics of entanglement in the resource state, and an entire space-time structure itself is simulated here. Thus, he expects this approach may lead to answer a fundamental question: what is the potential as well as limitations of computation admissible according to the basic laws and structures of nature?''

Especially, he is passionate to progress a recent discovery that the strongly-correlated ground state of such a Hamiltonian that appears in condensed matter physics could serve as a platform of measurement-based computation. That could evolve into quantum information processing through naturally-occurring many-body correlations. At the same time, it may relate the aforementioned question about intertwining physics and information to a modern prevailing perspective of emergence at the quantum many-body systems.

## Recent Publications

• A. Miyake, Quantum computational capability of a 2D valence bond solid phase, Ann. Phys. 326, 1656 (2011); arXiv: 1009.3491
• J.-M. Cai, A. Miyake, W. Duer, and H. J. Briegel, Universal quantum computer from a quantum magnet, Phys. Rev. A 82, 052309 (2010), arXiv: 1004.1907
• S.D. Bartlett, G.K. Brennen, A. Miyake, and J.M. Renes, Quantum computational renormalization in the Haldane phase, Phys. Rev. Lett. 105, 110502 (2010), arXiv: 1004.4906
• A. Miyake, Quantum computation on the edge of a symmetry-protected topological order, Phys. Rev. Lett. 105, 040501 (2010), arXiv: 1003.4662
• R. Jozsa, B. Kraus, A. Miyake, J. Watrous, Matchgate and space-bounded quantum computations are equivalent, Proc. R. Soc. A 466, 809 (2010), arXiv: 0908.1467
• C.E. Mora, M. Piani, A. Miyake, M. Van den Nest, W. Duer, and H. J. Briegel, Universal resources for approximate and stochastic measurement-based quantum computation, Phys. Rev. A 81, 042315 (2010), arXiv: 0904.3641
• J.-M. Cai, W. Duer, M. Van den Nest, A. Miyake, H. J. Briegel, Quantum computation in correlation space and extremal entanglement, Phys. Rev. Lett. 103, 050503 (2009), arXiv: 0902.1097
• R. Jozsa and A. Miyake, Matchgates and classical simulation of quantum circuits, Proc. R. Soc. A 464, 3089 (2008), arXiv: 0804.4050
• G.K. Brennen and A. Miyake, Measurement-based quantum computer in the gapped ground state of a two-body Hamiltonian, Phys. Rev. Lett. 101, 010502 (2008), arXiv: 0803.1478
• D.E. Browne, M.B. Elliott, S.T. Flammia, S.T. Merkel, A. Miyake, and A.J. Short, Phase transition of computational power in the resource states for one-way quantum computation, New J. Phys. 10, 023010 (2008), arXiv: 0709.1729
• M. Van den Nest, W. Duer, A. Miyake, and H.J. Briegel, Fundamentals of universality in one-way quantum computation, New J. Phys. 9, 204 (2007), arXiv: quant-ph/0702116
• D. Markham, A. Miyake, and S. Virmani, Entanglement and local information access for graph states, New J. Phys. 9, 194 (2007), arXiv: quant-ph/0609102
• C. Kruszynska, A. Miyake, H.J. Briegel, and W. Duer, Entanglement purification protocols for all graph states, Phys. Rev. A 74, 052316 (2006), arXiv: quant-ph/0606090
• D. Markham, J. Anders, V. Vedral, M. Murao, and A. Miyake, Survival of entanglement in thermal states, Europhysics Lett. 81, 40006 (2008), arXiv: quant-ph/0606103
• M. Van den Nest, A. Miyake, W. Duer, and H.J. Briegel, Universal resources for measurement--based quantum computation, Phys. Rev. Lett. 97, 150504 (2006), arXiv: quant-ph/0604010
• A. Miyake and H.J. Briegel, Distillation of multipartite entanglement by complementary stabilizer measurements, Phys. Rev. Lett. 95, 220501 (2005), arXiv: quant-ph/0506092
• A. Miyake, Multipartite entanglement under stochastic local operations and classical communication, Int. J. Quant. Info. 2, 65 (2004), arXiv: quant-ph/0401023
• A. Miyake and F. Verstraete, Multipartite entanglement in 2 x 2 x n quantum systems, Phys. Rev. A 69, 012101 (2004), arXiv: quant-ph/0307067
• A. Miyake and M. Wadati, Multipartite entanglement and hyperdeterminants, Quant. Info. Comp. 2, 540 (2002), arXiv: quant-ph/0212146
• A. Miyake, Classification of multipartite entangled states by multidimensional determinants, Phys. Rev. A 67, 012108 (2003), arXiv: quant-ph/0206111
• A. Miyake and M. Wadati, Geometric strategy for the optimal quantum search, Phys. Rev. A 64, 042317 (2001), arXiv: quant-ph/0109109
• J.M. Renes, A. Miyake, G.K. Brennen, and S.D. Bartlett, Holonomic quantum computing in ground states of spin chains with symmetry-protected topological order, arXiv: 1103.5076
• A. Miyake, Measurement-based quantum computational model, Knowledge Base by IEICE, group S2-5, chapter 3, section 3-5 (2010)
• A. Miyake and M. Wadati, Multipartite entanglement and multidimensional determinant: to be a pair or not to be, Mathematical Science, 500, 21-28 (2005)
• M. Wadati and A. Miyake, Geometry of quantum computation and quantum information, Mathematical Science, 473, 21-27 (2002)

## Seminars

• Quantum computational capability of a two-dimensional valence bond solid phase, Workshop on New trends in quantum dynamics and quantum entanglement, International Centre for Theoretical Physics, Trieste, Italy
• Quantum computational capability of a two-dimensional valence bond solid phase, Sydney quantum information theorey workshop (Coogee 2011), Sydney, Australia
• The 2D AKLT state is universal for measurement-based quantum computation, 14th workshop on quantum information processing (QIP 2011), Sentosa, Singapore
• Quantum computation through many-body correlations of a condensed matter system, Simons conference on New trends in quantum computation, Stony Brook, USA
• A basic of entanglement theory: information and operations behind entanglement entropy, Mini Workshop on Entanglement entropy in field theory, University of Waterloo, Canada
• Quantum computation on the edge of a symmetry-protected topological order, Workshop on quantum algorithms, computational models, and foundations of quantum mechanics, University of British Columbia, Canada
• Introduction to measurement-based quantum computing and its connections to condensed matter physics, Spring school by the EU STREP on Foundational structures in quantum computation and information, Oxford, UK
• Quantum correlations in a one-dimensional topological order and quantum computation, University of London College, UK
• Quantum matchgate computation is as powerful as space-bounded quantum computation, Conference on Quantum information and quantum control (CQIQC) III, Field Institute, Toronto, Canada
• Measurement-based quantum computation in the gapped ground state of a two-body Hamiltonian, IQC Colloquium, Institute for Quantum Computing, Waterloo, Canada
• Measurement-based quantum computation on a ground state with a non-vanishing correlation length, Sydney quantum information workshop Coogee'09, Sydney, Australia
• Ground-code measurement-based quantum computer, QICS workshop on Foundational structures for quantum information and computation, Obergurgl, Austria