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Dr Jiannis Pachos

Theoretical Physics Group

Contact details

Room: 9.71
Tel: +44 (0)113 3433817
Email: j.k.pachos @ leeds.ac.uk

Keywords

Topological quantum computation
Quantum field theory
Cold atoms and optical lattices
Graph theory

Research interests

My current research interest is in the area of topological quantum computation and topological insulators.

Topological quantum computation utilises anyons, quasiparticles with exotic statistics, to perform quantum computation. This approach promises to successfully overcome the main problem in the implementation of quantum computation, namely environmental errors. Recent experimental advances demonstrated the existence of Abelian and non-Abelian anyons opening the way for the actual implementation of topological quantum computation.

I am also interested in topological insulators. In particular, I investigate new Hamiltonians of 2+1 and 3+1 dimensional systems that can be implemented with cold atoms in optical lattices. A central aspect is the unambiguous identification of the topological properties. I am also interested in the connection of quantum field theoretic models with the low energy of lattice models that can be implemented with cold atoms.

Useful links

homepage
Leeds Centre for Topological Quantum Information

Publications

Barnett SM, Beige A, Ekert A, Garraway BM, Keitel CH, Kendon V, Lein M, Milburn GJ, Moya-Cessa HM, Murao M, Pachos JK, Palma GM, Paspalakis E, Phoenix SJD, Piraux B, Plenio MB, Sanders BC, Twamley J, Vidiella-Barranco A, Kim MS Journeys from quantum optics to quantum technology Progress in Quantum Electronics 54 19-45, 2017
DOI:10.1016/j.pquantelec.2017.07.002
View abstract

Patrick K, Neupert T, Pachos JK Topological Quantum Liquids with Long-Range Couplings Physical Review Letters 118 -, 2017
DOI:10.1103/PhysRevLett.118.267002
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Turner CJ, Meichanetzidis K, Papić Z, Pachos JK Optimal free descriptions of many-body theories Nature Communications 8 -, 2017
DOI:10.1038/ncomms14926
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Self CN, Pachos JK, Wootton JR, Iblisdir S Conformal energy currents on the edge of a topological superconductor Physical Review B 95 -, 2017
DOI:10.1103/PhysRevB.95.115141
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Brown BJ, Loss D, Pachos JK, Self CN, Wootton JR Quantum memories at finite temperature Reviews of Modern Physics 88 -, 2016
DOI:10.1103/RevModPhys.88.045005
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Xu JS, Sun K, Han YJ, Li CF, Pachos JK, Guo GC Simulating the exchange of Majorana zero modes with a photonic system Nature Communications 7 -, 2016
DOI:10.1038/ncomms13194
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Meichanetzidis K, Cirio M, Pachos JK, Lahtinen V Anatomy of fermionic entanglement and criticality in Kitaev spin liquids Physical Review B - Condensed Matter and Materials Physics 94 -, 2016
DOI:10.1103/PhysRevB.94.115158
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Ellinas D, Kaniadakis G, Pachos JK, Scarfone AM Quantum computation and information: Multi-particle aspects Entropy 18 -, 2016
DOI:10.3390/e18090339
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Palumbo G, Pachos JK Holographic correspondence in topological superconductors Annals of Physics 372 175-181, 2016
DOI:10.1016/j.aop.2016.05.005
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de Lisle J, Palumbo G, Gangat AA, Pachos JK Nested defects on the boundary of topological superconductors Physical Review B 94 -, 2016
DOI:10.1103/PhysRevB.94.054505
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Meichanetzidis K, Eisert J, Cirio M, Lahtinen V, Pachos JK Diagnosing Topological Edge States via Entanglement Monogamy PHYSICAL REVIEW LETTERS 116 -, 2016
DOI:10.1103/PhysRevLett.116.130501
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Alba E, Pachos JK, García-Ripoll JJ Winding number order in the Haldane model with interactions New Journal of Physics 18 -, 2016
DOI:10.1088/1367-2630/18/3/033022
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Bullivant A, Pachos JK Entropic manifestations of topological order in three dimensions Physical Review B (Condensed Matter) 93 -, 2016
DOI:10.1103/PhysRevB.93.125111
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Finch P, de Lisle J, Palumbo G, Pachos JK Induced Topological Phases at the Boundary of 3D Topological Superconductors Physical Review Letters 114 -, 2015
DOI:10.1103/PhysRevLett.114.016801
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Zatloukal V, Lehman L, Singh S, Pachos JK, Brennen GK Transport properties of anyons in random topological environments Physical Review B - Condensed Matter and Materials Physics 90 -, 2014
DOI:10.1103/PhysRevB.90.134201
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Cirio M, Palumbo G, Pachos JK (3+1)-dimensional topological quantum field theory from a tight-binding model of interacting spinless fermions Physical Review B 90 -, 2014
DOI:10.1103/PhysRevB.90.085114
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De Lisle J, De S, Alba E, Bullivant A, Garcia-Ripoll JJ, Lahtinen V, Pachos JK Detection of Chern numbers and entanglement in topological two-species systems through subsystem winding numbers New Journal of Physics 16 -, 2014
DOI:10.1088/1367-2630/16/8/083022
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Palumbo G, Pachos JK Non-Abelian Chern-Simons theory from a Hubbard-like model Physical Review D 90 -, 2014
DOI:10.1103/PhysRevD.90.027703
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Pachos JK, Simon SH Focus on topological quantum computation New Journal of Physics 16 -, 2014
DOI:10.1088/1367-2630/16/6/065003
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Brown BJ, Al-Shimary A, Pachos JK Entropic barriers for two-dimensional quantum memories Physical Review Letters 112 -, 2014
DOI:10.1103/PhysRevLett.112.120503
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Pachos JK Topological quantum computation Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 7938 LNCS 150-178, 2013
DOI:10.1007/978-3-642-38874-3-5
View abstract

Beige A, Pachos JK Announcing the JMO series on quantum memories Journal of Modern Optics 60 1517-1518, 2013
DOI:10.1080/09500340.2013.833391

Pachos JK, Alba E, Lahtinen V, Garcia-Ripoll JJ Seeing Majorana fermions in time-of-flight images of staggered spinless fermions coupled by s-wave pairing Physical Review A - Atomic, Molecular, and Optical Physics 88 -, 2013
DOI:10.1103/PhysRevA.88.013622
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Palumbo G, Pachos JK Abelian Chern-Simons-Maxwell theory from a tight-binding model of spinless fermions. Phys Rev Lett 110 211603-, 2013
DOI:10.1103/PhysRevLett.110.211603
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Al-Shimary A, Wootton JR, Pachos JK Lifetime of topological quantum memories in thermal environment New Journal of Physics 15 -, 2013
DOI:10.1088/1367-2630/15/2/025027
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Alba E, Fernandez-Gonzalvo X, Mur-Petit J, Garcia-Ripoll JJ, Pachos JK Simulating Dirac fermions with Abelian and non-Abelian gauge fields in optical lattices Annals of Physics 328 64-82, 2013
DOI:10.1016/j.aop.2012.10.005
View abstract

Lahtinen V, Ludwig AWW, Pachos JK, Trebst S Topological liquid nucleation induced by vortex-vortex interactions in Kitaev's honeycomb model Physical Review B - Condensed Matter and Materials Physics 86 -, 2012
DOI:10.1103/PhysRevB.86.075115
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Pachos JK Introduction to Topological Quantum Computation, 2012
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Röthlisberger B, Wootton JR, Heath RM, Pachos JK, Loss D Incoherent dynamics in the toric code subject to disorder Physical Review A - Atomic, Molecular, and Optical Physics 85 -, 2012
DOI:10.1103/PhysRevA.85.022313
View abstract

Roethlisberger B, Wootton JR, Heath RM, Pachos JK, Loss D Incoherent dynamics in the toric code subject to disorder PHYSICAL REVIEW A 85 -, 2012
DOI:10.1103/PhysRevA.85.022313

Maraner P, Pachos JK Conformal flatness, non-Abelian Kaluza-Klein reduction and quaternions Journal of Geometry and Physics 62 344-351, 2012
DOI:10.1016/j.geomphys.2011.10.019
View abstract

Alba E, Fernandez-Gonzalvo X, Mur-Petit J, Garcia-Ripoll JJ, Pachos JK Simulating Dirac fermions with Abelian and non-Abelian gauge fields in optical lattices Annals of Physics -, 2012
DOI:10.1016/j.aop.2012.10.005
View abstract

Wootton JR, Lahtinen V, Doucot B, Pachos JK Engineering complex topological memories from simple Abelian models ANN PHYS-NEW YORK 326 2307-2314, 2011
DOI:10.1016/j.aop.2011.05.008

Palmer RN, Pachos JK Fractional quantum Hall effect in a U(1)xSU(2) gauge field NEW J PHYS 13 -, 2011
DOI:10.1088/1367-2630/13/6/065002

Pachos JK Interactions in Abelian and Yang-Mills Theories Unpublished -, 2011

Lahtinen V, Pachos JK Topological phase transitions driven by gauge fields in an exactly solvable model PHYS REV B 81 -, 2010
DOI:10.1103/PhysRevB.81.245132

Brennen GK, Ellinas D, Kendon V, Pachos JK, Tsohantjis I, Wang ZH Anyonic quantum Walks ANN PHYS-NEW YORK 325 664-681, 2010
DOI:10.1016/j.aop.2009.12.001

Benjamin C, Pachos JK Detecting Majorana bound states PHYS REV B 81 -, 2010
DOI:10.1103/PhysRevB.81.085101

Brennen GK, Iblisdir S, Pachos JK, Slingerland JK Non-locality of non-Abelian anyons NEW J PHYS 11 -, 2009
DOI:10.1088/1367-2630/11/10/103023

Lahtinen V, Pachos JK Non-Abelian statistics as a Berry phase in exactly solvable models NEW J PHYS 11 -, 2009
DOI:10.1088/1367-2630/11/9/093027

Maraner P, Pachos JK Conformally flat Kaluza-Klein spaces, pseudo-/para-complex space forms and generalized gravitational kinks J GEOM PHYS 59 1314-1325, 2009
DOI:10.1016/j.geomphys.2009.06.013

Pachos JK, Wieczorek W, Schmid C, Kiesel N, Pohlner R, Weinfurter H Revealing anyonic features in a toric code quantum simulation NEW J PHYS 11 -, 2009
DOI:10.1088/1367-2630/11/8/083010

Maraner P, Pachos JK Centrifugal deformations of the gravitational kink PHYS LETT A 373 2616-2619, 2009
DOI:10.1016/j.physleta.2009.05.051

Maraner P, Pachos JK Yang-Mills gauge theories from simple fermionic lattice models PHYS LETT A 373 2542-2545, 2009
DOI:10.1016/j.physleta.2009.05.029

Benjamin C, Pachos JK π Junction qubit in monolayer graphene Physical Review B - Condensed Matter and Materials Physics 79 -, 2009
DOI:10.1103/PhysRevB.79.155431
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Benjamin C, Pachos JK pi junction qubit in monolayer graphene PHYS REV B 79 -, 2009
DOI:10.1103/PhysRevB.79.155431

Wootton JR, Lahtinen V, Pachos JK Universal Quantum Computation with a Non-Abelian Topological Memory, 2009

Pachos JK Manifestations of topological effects in graphene CONTEMP PHYS 50 375-389, 2009
DOI:10.1080/00107510802650507

Hatzinikitas A, Pachos JK One-dimensional stable probability density functions for rational index 0ANN PHYS-NEW YORK 323 3000-3019, 2008
DOI:10.1016/j.aop.2008.06.004

Benjamin C, Pachos JK Detecting entangled states in graphene via crossed Andreev reflection PHYS REV B 78 -, 2008
DOI:10.1103/PhysRevB.78.235403

Wootton JR, Lahtinen V, Wang ZG, Pachos JK Non-Abelian statistics from an Abelian model PHYS REV B 78 -, 2008
DOI:10.1103/PhysRevB.78.161102

Lahtinen V, Kells G, Carollo A, Stitt T, Vala J, Pachos JK Spectrum of the non-abelian phase in Kitaev's honeycomb lattice model ANN PHYS-NEW YORK 323 2286-2310, 2008
DOI:10.1016/j.aop.2007.12.009

Maraner P, Pachos JK Universal features of dimensional reduction schemes from general covariance breaking Annals of Physics 323 2044-2072, 2008
DOI:10.1016/j.aop.2007.11.004
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Brennen GK, Pachos JK Why should anyone care about computing with anyons? P R SOC A 464 1-24, 2008
DOI:10.1098/rspa.2007.0026

Benjamin C, Creeth G, Pachos JK Entangled states in graphene- detection and use, 2008
DOI:10.1088/1742-6596/129/1/012005

Tsomokos DI, Garcia-Ripoll JJ, Cooper NR, Pachos JK Chiral entanglement in triangular lattice models PHYS REV A 77 -, 2008
DOI:10.1103/PhysRevA.77.012106

Pachos JK, Stone M An index theorem for graphene INT J MOD PHYS B 21 5113-5120, 2007

Pachos JK, Hatzinikitas A, Stone M Zero modes of various graphene confiurations from the index theorem, 2007
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Kay A, Pachos JK Multipartite purification protocols: Upper and optimal bounds PHYS REV A 75 -, 2007
DOI:10.1103/PhysRevA.75.062307

Pachos JK The wavefunction of an anyon ANN PHYS-NEW YORK 322 1254-1264, 2007
DOI:10.1016/j.aop.2006.05.007

Garcia-Ripoll JJ, Pachos JK Fragmentation and destruction of the superfluid due to frustration of cold atoms in optical lattices NEW J PHYS 9 -, 2007
DOI:10.1088/1367-2630/9/5/139

Pachos JK, Carollo ACM Geometric phases and criticality in spin systems. Philos Trans A Math Phys Eng Sci 364 3463-3476, 2006
DOI:10.1098/rsta.2006.1894
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Pachos JK Quantum computation with Abelian anyons on the honeycomb lattice INT J QUANTUM INF 4 947-954, 2006

Kay A, Pachos JK, Dur W, Briegel HJ Optimal purification of thermal graph states NEW J PHYS 8 -, 2006
DOI:10.1088/1367-2630/8/8/147

Pachos JK Three-spin interactions and entanglement in optical lattices, 2006

Kay A, Pachos JK, Adams CS Graph-state preparation and quantum computation with global addressing of optical lattices PHYS REV A 73 -, 2006
DOI:10.1103/PhysRevA.73.022310

Scheel S, Pachos JK, Hinds EA, Knight PL Quantum gates and decoherence, 2006

Kay A, Lee DKK, Pachos JK, Plenio MB, Reuter ME, Rico E Quantum optics and informatics with single atoms and atomic ensembles Optika i Spektroskopiya 99 357-374, 2005
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Pachos JK, Beige A Erratum: Decoherence-free dynamical and geometrical entangling phase gates (Physical Reveiw A (2004) 69 (033817)) Physical Review A - Atomic, Molecular, and Optical Physics 72 -, 2005
DOI:10.1103/PhysRevA.72.049906

Pachos JK, Beige A Decoherence-free dynamical and geometrical entangling phase gates (vol 69, pg 033817, 2004) PHYS REV A 72 -, 2005
DOI:10.1103/PhysRevA.72.049906

D'Cruz C, Pachos JK Chiral phase from three-spin interactions in an optical lattice PHYS REV A 72 -, 2005
DOI:10.1103/PhysRevA.72.043608

Pachos JK Quantum phases of electric dipole ensembles in atom chips PHYS LETT A 344 441-446, 2005
DOI:10.1016/j.physleta.2005.06.097

Kay A, Lee DKK, Pachos JK, Plenio MB, Reuter ME, Rico E Quantum information and triangular optical lattices OPT SPECTROSC+ 99 339-356, 2005

Earp HNS, Pachos JK A constructive algorithm for the Cartan decomposition of SU(2(N)) J MATH PHYS 46 -, 2005
DOI:10.1063/1.2008210

Pachos JK, Rico E Effective three-body interactions in triangular optical lattices PHYS REV A 70 -, 2004
DOI:10.1103/PhysRevA.70.053620

Pachos JK, Rico E Effective three-body interactions in triangular optical lattices Physical Review A - Atomic, Molecular, and Optical Physics 70 -, 2004
DOI:10.1103/PhysRevA.70.053620
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Kay A, Pachos JK Quantum computation in optical lattices via global laser addressing New Journal of Physics 6 1-16, 2004
DOI:10.1088/1367-2630/6/1/126
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Kay A, Pachos JK Quantum computation in optical lattices via global laser addressing NEW J PHYS 6 -, 2004
DOI:10.1088/1367-2630/6/1/126

Pachos JK, Beige A Decoherence-free dynamical and geometrical entangling phase gates PHYS REV A 69 -, 2004
DOI:10.1103/PhysRevA.69.033817

Pachos JK, Vedral V Topological quantum gates with quantum dots J OPT B-QUANTUM S O 5 S643-S646, 2003

Fuentes I, Pachos JK, Bose S, Vedral V, Choi S Geometric phases of mesoscopic spin in Bose-Einstein condensates Physical Review A -, 2002

Pachos JK Quantum Computation by Geometrical Means, 2002

Ellinas D, Pachos JK Universal quantum computation by holonomic and nonlocal gates with imperfections Physical Review A 64 -, 2001
DOI:10.1103/PhysRevA.64.022310

Pachos JK, Zanardi P Quantum Holonomies for Quantum Computing International Journal of Modern Physics B 15 -, 2001
DOI:10.1142/S0217979201004836

Pachos JK, Zanardi P, Rasetti M Non-Abelian Berry connections for quantum computation Physical Review A 61 -, 1999
DOI:10.1103/PhysRevA.61.010305

Pachos JK Virasoro Algebra and O(N) Sigma Model International Journal of Modern Physics A 14 -, 1999
DOI:10.1142/S0217751X99000026

Pachos JK Conformal Symmetry and the Three Point Function for the Gravitational Axial Anomaly Physical Review D -, 1998

Phillial O, Pachos JK Schroedinger Representation of CP(N) Model for Large N Physics Letters B 444 469-473, 1998
DOI:10.1016/S0370-2693(98)01368-9

Pachos JK (1+1)-Dimensional SU(N) Static Sources in E and A Representations Physical Review D: Particles, Fields, Gravitation and Cosmology -, 1998

Sampaio M, Mansfield P, Pachos JK Short Distance Properties from Large Distance Behaviour International Journal of Modern Physics A 13 -, 1998
DOI:10.1142/S0217751X9800192X

Pachos JK The Coulomb Branch of Yang-Mills Theory from the Schroedinger Representation Physics Letters B 187-190, 1998
DOI:10.1016/S0370-2693(98)00614-5

Pachos JK, Tsapalis A Static Colored SU(2) Sources in (1+1)-Dimensions - An Analytic Solution in the Electric Representation Modern Physics Letters A 13 -, 1998
DOI:10.1142/S0217732398001431

Pachos J Fast lane for confinement, 1998

Pachos JK Second Order Calculations of the O(N) sigma-Model Laplacian Physics Letters B 394 365-370, 1997
DOI:10.1016/S0370-2693(97)00039-7

Pachos JK The O(N) sigma-model Laplacian Phys.Lett. B 365 169-174, 1996

Pachos JK The O(N) sigma-model Laplacian Phys.Lett. B 365 169-174, 1996

Pachos JK The O(N) sigma-model Laplacian Phys.Lett. B 365 -, 1996

Pachos JK Optical Holonomic Quantum Computer,