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Decoherence in quantum computing: extended abstract

Vladimir Privman A

Published Jan 5, 2004• 0 citations
Publisher
DOI
10.5555/984720.984759

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The Quantum Charge Coupled Device (QCCD) architecture offers a modular solution to enable the realization of trappedion quantum computers with a large number of qubits. Within these devices, ions can be shuttled (moved) throughout the trap and through different dedicated zones. However, due to decoherence of the ions' quantum states, the qubits lose their quantum information over time. Thus, the shuttling needed for these shuttling operations should be minimized. In this extended abstract, we propose a concept towards a cycle-based heuristic approach to determining an efficient shuttling schedule for a given quantum circuit.
Abstract. Computer simulations of decoherence in quantum spin systems require the solution of the time-dependent Schrödinger equation for interacting quantum spin systems over extended periods of time. We use exact diagonalization, Chebyshev polynomial technique, four Suzukiformula algorithms, and the short-iterative-Lanczos method to solve a simple model for decoherence of a quantum spin system by an environment consisting of quantum spins, and compare advantages and limitations of different algorithms. 1
Abstract: This paper explores the application of non-linear geometric topology, specifically fractal geometry, to the preservation of quantum states. Quantum states exhibit inherent fragility, susceptible to decoherence over extended time scales and environmental perturbations. Existing topological methods often fall short in effectively managing this sensitivity. This work proposes a novel approach utilizing dynamically evolving topology, inspired by fractal patterns, to mitigate decoherence. This topology adapts to subtle quantum fluctuations, offering a robust framework for quantum computing and information processing. We detail the core mechanism – a self-correcting topology – and present preliminary results demonstrating its potential for preserving quantum coherence.