# School of Physics and Astronomy

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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

View abstract

**Turner CJ, Meichanetzidis K, Papić Z, Pachos JK** Optimal free descriptions of many-body theories *Nature Communications* **8** -, 2017

DOI:10.1038/ncomms14926

View abstract

**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

View abstract

**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

View abstract

**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

View abstract

**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

View abstract

**Ellinas D, Kaniadakis G, Pachos JK, Scarfone AM** Quantum computation and information: Multi-particle aspects *Entropy* **18** -, 2016

DOI:10.3390/e18090339

View abstract

**Palumbo G, Pachos JK** Holographic correspondence in topological superconductors *Annals of Physics* **372** 175-181, 2016

DOI:10.1016/j.aop.2016.05.005

View abstract

**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

View abstract

**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

View abstract

**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

View abstract

**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

View abstract

**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

View abstract

**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

View abstract

**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

View abstract

**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

View abstract

**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

View abstract

**Pachos JK, Simon SH** Focus on topological quantum computation *New Journal of Physics* **16** -, 2014

DOI:10.1088/1367-2630/16/6/065003

View abstract

**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

View abstract

**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

View abstract

**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

View abstract

**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

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* **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

View abstract

**Pachos JK** Introduction to Topological Quantum Computation, 2012

View abstract

**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

View abstract

**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 0**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

View abstract

**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

View abstract

**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

View abstract

**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

View abstract

**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

View abstract

**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

View abstract

**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,

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