The effect of the environment on quantum algorithms operated on solid state qubits
| Thesis title in Czech: | Efekt prostřeni na kvantové algoritmy prováděné na kubitech z pevných látek |
|---|---|
| Thesis title in English: | The effect of the environment on quantum algorithms operated on solid state qubits |
| English key words: | solid state qubits|quantum algorithms|entanglement|decoherence|system-environment interactions |
| Academic year of topic announcement: | 2022/2023 |
| Thesis type: | dissertation |
| Thesis language: | angličtina |
| Department: | Department of Condensed Matter Physics (32-KFKL) |
| Supervisor: | Ing. Katarzyna Roszak, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 08.02.2023 |
| Date of assignment: | 08.02.2023 |
| Confirmed by Study dept. on: | 15.02.2023 |
| Guidelines |
| The objective of this PhD topic is to study the effects of environments modeled as
quantum systems on the operation of fundamental quantum algorithms, such as the Deutsch algorithm, teleportation, as well as simple error-correction schemes. Using methods from open quantum systems [2,3], the PhD candidate will study the correlations present in the density matrix describing the state of the qubits and their environment [2], taking into account both correlated and uncorrelated baths. They will study what properties of the system- environment interaction are most relevant (entanglement being formed with the environment,memory effects, commutativity of different elements of the interaction) for effective operation of given algorithms under noisy conditions. Furthermore, the PhD student will explore methods to utilize the transfer of information between the system and the environment [4] in order to minimize or counter decoherence due to memory effects and entanglement. |
| References |
| [1] J. J. Pla, et al., Nature 489, 541 (2012); K. C. Miao, et al., Science 369, 1493 (2020); S.
Touzard et al., Phys. Rev. Lett. 122, 080502 (2019); P. Campagne-Ibarcq et al., Nature 584, 368–372 (2020). [2] K. Roszak and Ł. Cywiński, Phys. Rev. A 92, 032310 (2015); K. Roszak, Phys. Rev. A 98, 052344 (2018) [3] H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, 2002) [4] K. Roszak, R. Filip, and T. Novotny, Sci. Rep. 5, 09796 (2015); K. Roszak and J. Korbicz, arXiv:2208.13545 [quant-ph] (2022) |
| Preliminary scope of work |
| Solid state qubits (spins states of donor atoms, superconducting qubits, etc.) [1] are the
most promising candidates for quantum computation, since now initialization, operation of single and two-qubit gates, as well as readout, are possible with high fidelity. Such systems are inherently noisy. This noise, which is the result of the interaction of the qubit with the solid state environment, is often the result of the formation of quantum correlations and in many situations is non-Markovian in its nature [2]. This means that the decoherence cannot always be modeled as classical noise and the operation of quantum algorithms will leave a mark on the state of the environment which will then influence the operation of the algorithm. |