Perfect state transfer: Beyond nearest-neighbor couplings

Kay, Alastair

doi:10.1103/physreva.73.032306

Cited by 126 publications

(82 citation statements)

References 18 publications

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“…Next we explore the effect on the remote gate of unwanted longer range interactions [27,28], which could be an issue when considering pseudospins based on charge degrees of freedom. We add to Eq.…”

Section: Errors and Decoherencementioning

confidence: 99%

Knitting distributed cluster-state ladders with spin chains

2011

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Recently there has been much study on the application of spin chains to quantum state transfer and communication. Here we discuss the utilization of spin chains (set up for perfect quantum state transfer) for the knitting of distributed cluster-state structures, between spin qubits repeatedly injected and extracted at the ends of the chain. The cluster states emerge from the natural evolution of the system across different excitation number sectors. We discuss the decohering effects of errors in the injection and extraction process as well as the effects of fabrication and random errors.

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Section: Errors and Decoherencementioning

confidence: 99%

Knitting distributed cluster-state ladders with spin chains

2011

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“…Perfect state transfer (PST) without any dynamical control can be achieved by an infinity of engineered spin-spin coupling configurations [11][12][13][14][15][16][17][18] for a spin chain of given length. Regrettably this amazing transfer fidelity comes at a high price in terms of the accuracy required to design each interaction to avoid the loss of information [3,11,19,20].…”

Section: Introductionmentioning

confidence: 99%

Spin chains for robust state transfer: Modified boundary couplings versus completely engineered chains

et al. 2012

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Quantum state transfer in the presence of static disorder and noise is one of the main challenges in building quantum computers. We compare the quantum state transfer properties for two classes of qubit chains under the influence of static disorder. In fully engineered chains all nearest-neighbor couplings are tuned in such a way that a single-qubit state can be transferred perfectly between the ends of the chain, while in chains with modified boundaries only the two couplings between the transmitting and receiving qubits and the remainder of the chain can be optimized. We study how the disorder in the couplings affects the state transfer fidelity depending on the disorder model and strength as well as the chain type and length. We show that the desired level of fidelity and transfer time are important factors in designing a chain. In particular we demonstrate that transfer efficiency comparable or better than that of the most robust engineered systems can also be reached in chains with modified boundaries without the demanding engineering of a large number of couplings.

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“…A plethora of interesting results have been obtained on qubit-state transfer through spin chains, considering various types of neighbor couplings [6][7][8] and errors arising from network nonidealities [9][10][11][12][13]. To be more specific, we observe that, in Ref.…”

Section: Introductionmentioning

confidence: 93%

Engineering interactions for quasiperfect transfer of polariton states through nonideal bosonic networks of distinct topologies

2011

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We present a scheme for quasiperfect transfer of polariton states from a sender to a spatially separated receiver, both composed of high-quality cavities filled by atomic samples. The sender and the receiver are connected by a nonideal transmission channel -the data bus-modelled by a network of lossy empty cavities. In particular, we analyze the influence of a large class of data-bus topologies on the fidelity and transfer time of the polariton state. Moreover, we also assume dispersive couplings between the polariton fields and the data-bus normal modes in order to achieve a tunneling-like state transfer. Such a tunneling-transfer mechanism, by which the excitation energy of the polariton effectively does not populate the data-bus cavities, is capable of attenuating appreciably the dissipative effects of the data-bus cavities. After deriving a Hamiltonian for the effective coupling between the sender and the receiver, we show that the decay rate of the fidelity is proportional to a cooperativity parameter that weighs the cost of the dissipation rate against the benefit of the effective coupling strength. The increase of the fidelity of the transfer process can be achieved at the expense of longer transfer times. We also show that the dependence of both the fidelity and the transfer time on the network topology is analyzed in detail for distinct regimes of parameters. It follows that the data-bus topology can be explored to control the time of the state-transfer process.

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Perfect state transfer: Beyond nearest-neighbor couplings

Cited by 126 publications

References 18 publications

Knitting distributed cluster-state ladders with spin chains

Knitting distributed cluster-state ladders with spin chains

Spin chains for robust state transfer: Modified boundary couplings versus completely engineered chains

Engineering interactions for quasiperfect transfer of polariton states through nonideal bosonic networks of distinct topologies

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