Suppressing decoherence in solid-state quantum information processing

Lead Research Organisation: University College London
Department Name: Physics and Astronomy

Abstract

Quantum physics describes sub-atomic particles, their interactions with each other, and with external influences such as light. Quantum computation is a potentially ground-breaking technology which applies the laws of quantum physics to computational tasks, requiring an unprecedented level of control over the states of quantum particles, in order to perform algorithms that are impossible on any conventional computer. For example, such computers could provide an unmatched standard of secure communications and efficient database searches.However, in practise, quantum computers are confined to the laboratory and to small numbers of computational elements. Performing the factorisation of 15 (using a register of 7 elements) is state of the art. Although, at first glance, this does not seem a particularly impressive feat (conventional computers have now factorised a 200-digit number), closer examination of the problems inherent in building even a single quantum processor, never mind a register, reveals what a breakthrough this is.Conventional computers perform tasks by storing and processing information encoded in the form of binary bits which take a value of either 1 or 0 (corresponding to logical true or false). Quantum computers encode information in an analogous way (in quantum bits or qubits ). Qubits hold two important advantages over their classical counterparts: they may exist not only as 1 or 0 but as a combination of the two (known as a superposition) - and a register of qubits can share information out between each element due to a property known as entanglement (i.e. the qubits can talk to one another). It is these two properties that lead to the higher efficiency of quantum algorithms. Unfortunately, superposition and entanglement make quantum states extremely fragile. The information they hold is lost very quickly due to contact with the surrounding material of the processor, leading to errors in operation. This is a process known as decoherence. For any large scale quantum computer to be built this fundamental limitation must be overcome.The aim of my planned research is therefore to provide a better understanding of how information is lost from the computational elements of a quantum computer and to propose methods for protecting against such decoherence.

Publications

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Description A number of important results were published as a direct consequence of the work undertaken during the Fellowship. These included: (a) identification of phonons as the dominant source of decoherence in quantum dot exciton coherent control experiments and development of a theoretical model to explain the experimental observations. This experiment-theory collaborative work has strong implications in the use of excitonic states within nanoscale quantum information processing schemes; (b) derivation of criteria for which energy transfer dynamics between closely-spaced nanoscale systems is expected to be coherent, and an exploration of the role of environmental spatial correlations in the coherent to incoherent crossover. This work required the development of a master equation theory of energy transfer processes valid beyond the weak system-environment coupling regime and could have implications for a number of systems, in particular in the energy transfer processes observed in photosynthetic complexes; (c) the theoretical development of schemes for spin quantum information processing in quantum dots via adiabatic control, which are robust to the adverse effects of environmental perturbations and thus could operate with far higher fidelity than previous dynamic schemes; (d) investigation of the effects of dephasing in solid-state single photon sources and the resulting loss of photon indistinguishability. This led to the suggestion that post-selection methods could be used to overcome dephasing and restore photon indistinguishability; (e) investigation of the potential for spin systems to become entangled purely through mutual environmental interactions, rather than direct spin-spin interactions. This effect could be observable in a number of systems, for example in ion traps; (f) the development of master equation approaches for the dynamics of small quantum systems in contact with a large (quantum) environment that are valid beyond the standard weak-coupling approach.
Exploitation Route not applicable this year
Sectors Other