Optimal control of fast and high-fidelity quantum state transfer in spin-1/2 chains

Zhang, Xiong-Peng; Shao, Bin; Zhou, Tianjun; Zou, Jian; Wu, Lian-Ao

doi:10.1016/j.aop.2016.10.020

Cited by 24 publications

(19 citation statements)

References 33 publications

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“…We here propose a quantum state that can be easily prepared and robustly stored and present protocols that transfer it through a quantum network. We thereby merge key ingredients of three different fields of research: (i) compact localized states in flat band lattices 1-14 , (ii) perfect state transfer [15][16][17][18][19][20][21][22][23] , and (iii) optimal control theory [24][25][26][27][28] .…”

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confidence: 99%

Quantum Network Transfer and Storage with Compact Localized States Induced by Local Symmetries

et al. 2019

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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 inter-site 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. 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.

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confidence: 99%

Quantum Network Transfer and Storage with Compact Localized States Induced by Local Symmetries

et al. 2019

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“…Reported realizations rely on solutions found in nature in the form of Bloch oscillations [31], atomic spin chains [22], or their emulation by optical lattices [13,10]. Designs of new Hamiltonians that enable nearly perfect transfer comprise a modification of the uniform array [32] and manipulation of coupling coefficients at the ends of the array [33,34,35].…”

Section: Perfect Transfermentioning

confidence: 99%

A new method for multi-bit and qudit transfer based on commensurate waveguide arrays

Petrovic

Veerman

2018

Annals of Physics

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The faithful state transfer is an important requirement in the construction of classical and quantum computers. While the high-speed transfer is realized by optical-fibre interconnects, its implementation in integrated optical circuits is affected by cross-talk. The cross-talk between densely packed optical waveguides limits the transfer fidelity and distorts the signal in each channel, thus severely impeding the parallel transfer of states such as classical registers, multiple qubits and qudits. Here, we leverage on the suitably engineered cross-talk between waveguides to achieve the parallel transfer on optical chip. Waveguide coupling coefficients are designed to yield commensurate eigenvalues of the array and hence, periodic revivals of the input state. While, in general, polynomially complex, the inverse eigenvalue problem permits analytic solutions for small number of waveguides. We present exact solutions for arrays of up to nine waveguides and use them to design realistic buses for multi-(qu)bit and qudit transfer. Advantages and limitations of the proposed solution are discussed in the context of available fabrication techniques.

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“…There is a host of physical systems where some quantum state transfer process can be implemented [24][25][26][27][28][29][30][31]. The strategies to control a given chain are also multiple, varying from using only one actuator [18][19][20], two actuators [33] or even controlling almost all (or all) the spins on the chain [34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Pretty good quantum state transfer on isotropic and anisotropic Heisenberg spin chains with tailored site dependent exchange couplings

Serra,

Ferrón,

Osenda

2021

Preprint

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Using a global optimization algorithm, interchange coupling distributions are obtained for chains of quantum spins. The couplings give the magnitude of the interaction between the spins of the chain, both chains with Heisenberg Hamiltonian and XXZ type anisotropic Hamiltonian are considered. These couplings allow the chains to be used as channels to transmit quantum states according to the simplest transmission protocol. It is analyzed under which conditions it is possible to obtain very high transmission fidelities, both as a function of the arrival time and the maximum intensity allowed for the couplings. Special emphasis is placed on finding coupling sets that allow fast transmission, with short arrival times on the order of N , where N is the number of spins in the chain. The stability of the chains as transmission channels is analyzed also when the couplings are subject to static disorder. Finally it is shown that the transmission fidelity at different arrival times shows scaling properties.

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Optimal control of fast and high-fidelity quantum state transfer in spin-1/2 chains

Cited by 24 publications

References 33 publications

Quantum Network Transfer and Storage with Compact Localized States Induced by Local Symmetries

Quantum Network Transfer and Storage with Compact Localized States Induced by Local Symmetries

A new method for multi-bit and qudit transfer based on commensurate waveguide arrays

Pretty good quantum state transfer on isotropic and anisotropic Heisenberg spin chains with tailored site dependent exchange couplings

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