Supervisors: David Jennings and Terry Rudolph

Resource theory of asymmetry

Precision controls over small quantum systems define consumable resources, and give rise to fundamental limitations above and beyond uncertainty relations. In the same way that a rotationally asymmetric object is of use in defining an axis, the utility of physical reference frames in fundamental physics (quantum clocks, phase references, spin dynamics) invariably stems from some underlying, abstract asymmetry. While symmetry serves to unify fundamental forces, it might be said that asymmetry serves to unify fundamental resources.

During my PhD I will work on a general theory of mixed state asymmetry, focusing especially on its connections with entanglement theory and thermodynamics, as well as on its applications for quantum information processing.  Developing the theory of interconversion, quantification and consumption of asymmetry I will try to comprehensively identify and describe such resources in a diverse range of physical scenarios. This will include devising a resource-theoretic formulation of quantum measurement aspects such as in measurement-disturbance relations. On a more practical side I will try to develop protocols accessible by state-of-the-art technology in topics such as quantum metrology, the theory of quantum clocks, or small quantum-scale thermodynamic engines.

Preprints

• Note on the structure of the thermodynamic arrow of time in classical and quantum theories

Kamil Korzekwa (arXiv:1609.05910)

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Papers

• Classical noise and the structure of minimum uncertainty states

Kamil Korzekwa, Matteo Lostaglio

Phys. Rev. A 93, 062347 (2016) [also arXiv:1602.01850]

• The extraction of work from quantum coherence

Kamil Korzekwa, Matteo Lostaglio, Jonathan Oppenheim, David Jennings

New J. Phys. 18, 023045 (2016) [also arXiv:1506.07875]

• Quantum coherence, time-translation symmetry and thermodynamics

Matteo Lostaglio, Kamil Korzekwa, David Jennings, Terry Rudolph

Phys. Rev. X 5, 021001 (2015) (also arXiv:1410.4572)

[Covered in Physics Viewpoint: New Entry in the Thermodynamic Rulebook for Quantum Systems]

• Quantum-state transfer in spin chains via isolated resonance of terminal spins

Kamil Korzekwa, Paweł Machnikowski, Paweł Horodecki

Phys. Rev. A 89, 062301 (2014) [also arXiv:1403.7359]

• Operational constraints on state-dependent formulations of quantum error-disturbance trade-off relations

Kamil Korzekwa, David Jennings, Terry Rudolph

Phys. Rev. A 89, 052108 (2014) [also arXiv:1311.5506]

• Quantum and classical entropic uncertainty relations

Kamil Korzekwa, Matteo Lostaglio, David Jennings, Terry Rudolph

Phys. Rev. A 89, 042122 (2014) [also arXiv:1402:1143]

• Spin dynamics in p-doped semiconductor nanostructures subject to a magnetic field tilted from the Voigt geometry

K. Korzekwa, C. Gradl, M. Kugler, S. Furthmeier, M. Griesbeck, M. Hirmer, D. Schuh, W. Wegscheider, T. Kuhn, C. Schüller, T. Korn, P. Machnikowski

Phys. Rev. B 88, 155303 (2013) [also arXiv:1306.6363]

[Editor’s suggestion]

• Spin dynamics in two-dimensional electron and hole systems revealed by resonant spin amplification

T. Korn, M. Griesbeck, M. Kugler, S. Furthmeier, C. Gradl, M. Hirmer, D. Schuh, W. Wegscheider, K. Korzekwa, P. Machnikowski, T. Kuhn, M. M. Glazov, E. Ya. Sherman, C. Schüller

Proc. SPIE 8461, Spintronics V, 84610O (2012)

• Tunneling Transfer Protocol in a Quantum Dots Chain Immune to Inhomogeneity

Kamil Korzekwa, Paweł Machnikowski

Acta Phys. Pol. A 120, 859-861 (2011) [also arXiv:1108.5749]

• Decoherence-assisted initialization of a resident hole spin polarization in a p-doped semiconductor quantum well

M. Kugler, K. Korzekwa, P. Machnikowski, C. Gradl, S. Furthmeier, M. Griesbeck, M. Hirmer, D. Schuh, W. Wegscheider, T. Kuhn, C. Schüller, T. Korn

Phys. Rev. B 84, 085327 (2011) [also arXiv:1105.1338]

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Theses

• Resource theory of asymmetry (PDF)
  

MRes thesis, Imperial College London (2013)

• Magnetooptical Kerr effect and resonant spin amplification (PDF)

MSc thesis, Wrocław University of Technology (2012)

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Talks

• The extraction of work from quantum coherence
  • Scientific meeting of PhD students, Wrocław University of Technology (2016)

• Quantum information and thermodynamics: a resource-theoretic approach
  • Quantum Optics and Laser Science Group seminar, Imperial College London (2016)
  • Takahiro Sagawa's Group seminar, University of Tokyo (2016)
  • Quantum Science Group seminar, University of Sydney (2016)
  • Coherence-Correlations-Complexity seminar, Wrocław University of Technology (2015)

• Quantum coherence, time-translation symmetry and thermodynamics
  • APS March Meeting, Baltimore (2016)
  • 4^th International Workshop on the Optical Properties of Nanostructures, Wrocław (2016)
  • Quantum Information Theory seminar, ICFO Barcelona (2016)
  • Symposium on Quantum Coherence, University of Ulm (2015)
  • Quantum Information Theory seminar, ETH Zurich (2015)
  • 7^th Colleges of London Quantum Information Meeting, Imperial College London (2014)

• Quantum state transfer via spin chains
  • Coherence-Correlations-Complexity seminar, Wrocław University of Technology (2013)

• Decoherence-driven mechanism for initialization of hole spins in a p-doped semiconductor quantum well
  • 41^st “Jaszowiec” International School & Conference on the Physics of Semiconductors, Krynica-Zdrój (2012)
  • Optical Spectroscopy of Semiconductor Quantum Structures seminar, Universität Regensburg (2011)
  • Coherence-Correlations-Complexity seminar, Wrocław University of Technology (2011)

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Posters

• Quantum coherence, time-translation symmetry and thermodynamics
  • 18^th Conference on Quantum Information Processing, Sydney (2015)
  • 2^nd Quantum Thermodynamics Conference, Mallorca (2015)

• Noise and disturbance of quantum measurement: measures and uncertainty relations
  • Summer School on Quantum Information, Computing and Control, London (2013)

• Spin dynamics in p-doped semiconductor nanostructures subject to a magnetic field tilted from the Voigt geometry
  • 16^th International Conference on Modulated Semiconductor Structures, Wrocław (2013)

• On-demand quantum state transfer in spin chains with limited control and high resilience against imperfections
  • Summer School on Quantum Information, Computing and Control, Aberystwyth (2012)

• Theoretical modelling of magnetooptical experiments in p-doped nanostructures
  • 2^nd Polish-German Workshop on the Optical Properties of Nanostructures, Münster (2012)

• Theory of Kerr rotation and resonant spin amplification in p-doped nanostructures
  • The international conference on Optics of Excitons in Confined Systems, Paris (2011)
  • 1^st Polish-Germ an Workshop on the Optical Properties of Nanostructures, Wrocław (2011)

• Tunneling Transfer Protocol in a Quantum Dots Chain Immune to Inhomogeneity
  • 40^th “Jaszowiec” International School & Conference on the Physics of Semiconductors, Krynica Zdrój (2011)

• Applications of speckle interferometry in measurements of mechanical properties
  • OPTO Meeting for Young Researchers & V International SPIE Students’ Chapters Meeting, Toruń (2010)