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Journal of Optics B Quantum and Semiclassical Optics

Storing quantum information in XXZ spin rings with periodically time-controlled interactions

S. M. Giampaolo, Fabrizio Illuminati, G. Mazzarella

Published Sep 21, 2005• 6 citations
Publisher

Abstract

We introduce a general scheme to realize massive quantum memories in simple systems of interacting qubits. Such systems are described by spin rings with XXZ intersite couplings of suitably time-periodically controlled amplitudes. We show that initially localized excitations undergo perfect periodic revivals, allowing for the simultaneous storage of arbitrary sets of different local states. This novel approach to the problem of storing quantum information hints at a new way to control and suppress the effect of decoherence on a quantum computer realized in a system with nonvanishing interactions between the constituent qubits.

DOI
10.1088/1464-4266/7/10/019

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We introduce a general scheme to realize massive quantum memories in simple systems of interacting qubits. Such systems are described by spin rings with XXZ intersite couplings of suitably time-periodically controlled amplitudes. We show that initially localized excitations undergo perfect periodic revivals, allowing for the simultaneous storage of arbitrary sets of different local states. This novel approach to the problem of storing quantum information hints at a new way to control and suppress the effect of decoherence on a quantum computer realized in a system with nonvanishing interactions between the constituent qubits.
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We introduce a general scheme to realize perfect quantum state reconstruction and storage in systems of interacting qubits. This novel approach is based on the idea of controlling the residual interactions by suitable external controls that, acting on the inter-qubit couplings, yield time-periodic inversions in the dynamical evolution, thus cancelling exactly the effects of quantum state diffusion. We illustrate the method for spin systems on closed rings with XY residual interactions, showing that it enables the massive storage of arbitrarily large numbers of local states, and we demonstrate its robustness against several realistic sources of noise and imperfections.
We propose a solid state based protocol to implement the universal quantum storage for electronic spin qubit. The quantum memory in this scheme is the spin wave excitation in the ring array of nuclei in a quantum dot. We show that the quantum information carried by an arbitrary state of the electronic spin can be coherently mapped onto the spin wave excitations or the magnon states. With an appropriate external control, the stored quantum state in quantum memory can be read out reversibly. We also explore in detail the quantum decoherence mechanism due to the inhomogeneous couplings between the electronic spin and the nuclear spins.
We propose a novel solid state based protocol to implement the universal quantum storage for electronic spin qubit. The quantum memory in this protocol is the magnons in the ring array of nuclei in a quantum well. We show that the quantum information carried by an arbitrary state of the electronic spin can be coherently mapped onto the magnon excitations in the spin wave quantum memory. With appropriate external control, the stored quantum state in quantum memory can be read out reversibly. We also explore the novel mechanism of quantum decoherence due to the inhomogeneous couplings between the electronic spin and the nuclear spins.
This paper explores the potential of utilizing quantum state decoherence as a fundamental mechanism for constructing a high-density and high-fidelity quantum memory. The core concept relies on exploiting quantum bit (qubit) interactions to store and retrieve quantum states, coupled with the inherent properties of decoherence to maintain coherence for extended periods. We propose a framework leveraging controlled interactions between qubits to encode quantum information, followed by a carefully designed decoherence process to effectively 'lock' the state. The key challenge addressed is minimizing information loss during both storage and retrieval. The theoretical analysis focuses on the trade-offs between coherence time, storage capacity, and fidelity, providing a basis for future research and development in this critical area of quantum information processing. We present a simplified model to illustrate the principles involved and discuss potential avenues for improvement, highlighting the importance of precise control and mitigation strategies to combat decoherence effects. ---
We propose modulation protocols designed to generate, store, and transfer compact localized states in a quantum network. Induced by parameter tuning or local reflection symmetries, such states vanish outside selected domains of the complete system and are therefore ideal for information storage. Their creation and transfer is here achieved either via amplitude phase flips or via optimal temporal control of intersite couplings. We apply the concept to a decorated, locally symmetric Lieb lattice where one sublattice is dimerized, and also demonstrate it for more complex setups. The approach allows for a flexible storage and transfer of states along independent paths in lattices supporting flat energetic bands. We further demonstrate a method to equip any network featuring static perfect state transfer of single-site excitations with compact localized states, thus increasing the storage ability of these networks. We show that these compact localized states can likewise be perfectly transferred through the corresponding network by suitable, time-dependent modifications. The generic network and protocols proposed can be utilized in various physical setups such as atomic or molecular spin lattices, photonic waveguide arrays, and acoustic setups.