Perfect state transfer on spin-1 chains

Asoudeh, M.; Karimipour, Vahid

doi:10.1007/s11128-013-0676-8

Cited by 7 publications

(7 citation statements)

References 45 publications

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“…The Haldane phase is useful for quantum operations (for instance, as a perfect quantum wire) [17,18] and can be destroyed only by crossing a phase transition. The finite energy gap in topological spin-1 systems makes them a potential candidate for long-lived, robust quantum memories [19], and schemes using symmetry-protected spin-1 phases for measurement-based quantum computation have also been proposed [20,21].…”

Section: Introductionmentioning

confidence: 99%

Realization of a Quantum Integer-Spin Chain with Controllable Interactions

et al. 2015

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The physics of interacting integer-spin chains has been a topic of intense theoretical interest, particularly in the context of symmetry-protected topological phases. However, there has not been a controllable model system to study this physics experimentally. We demonstrate how spin-dependent forces on trapped ions can be used to engineer an effective system of interacting spin-1 particles. Our system evolves coherently under an applied spin-1 XY Hamiltonian with tunable, long-range couplings, and all three quantum levels at each site participate in the dynamics. We observe the time evolution of the system and verify its coherence by entangling a pair of effective three-level particles ("qutrits") with 86% fidelity. By adiabatically ramping a global field, we produce ground states of the XY model, and we demonstrate an instance where the ground state cannot be created without breaking the same symmetries that protect the topological Haldane phase. This experimental platform enables future studies of symmetry-protected order in spin-1 systems and their use in quantum applications.

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Section: Introductionmentioning

confidence: 99%

Realization of a Quantum Integer-Spin Chain with Controllable Interactions

et al. 2015

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“…Of particular interest are those schemes where information can be routed either passively, with no control on the overall system, or control only over a small portion of the system [19,20,21,10,8,15], or only global external control over the entire system without any individual addressing [13,9]. Therefore, it is quite tempting, both theoretically and practically to design schemes where wires can be arrays of Heisenberg spin chains, and qubits can be excitations which flow down these chains [4,5,6,7,8,9,10,12,11,13,9]. These chains can be joined to each other and in certain interaction zones, their interaction can be such that when excitations pass through these zones, specific one or two qubit gates act on them, without any external control.…”

Section: Introductionmentioning

confidence: 99%

Time-independent quantum circuits with local interactions

et al. 2016

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Heisenberg spin chains can act as quantum wires transferring quantum states either perfectly or with high fidelity. Gaussian packets of excitations passing through dual rails can encode the two states of a logical qubit, depending on which rail is empty and which rail is carrying the packet. With extra interactions in one or between different chains, one can introduce interaction zones in arrays of such chains, where specific one or two qubit gates act on any qubit which passes through these interaction zones. Therefore, universal quantum computation is made possible in a static way where no external control is needed. This scheme will then pave the way for a scalable way of quantum computation where specific hardware can be connected to make large quantum circuits. Our scheme is an improvement of a recent scheme where we have achieved to borrow an idea from quantum electrodynamics to replace non-local interactions between spin chains with local interactions mediated by an ancillary chain.

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“…More general graphs such as signed graphs [35] and oriented graphs [36] are also studied. PST for qudits has also been classified for some networks [37,38]. One of the big challenges for scalable quantum architecture is the imperfect twoqubit interaction.…”

Section: Introductionmentioning

confidence: 99%

Perfect state transfer on hypercubes and its implementation using superconducting qubits

et al. 2020

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We propose a protocol for perfect state transfer between any pair of vertices in a hypercube. Given a pair of distinct vertices in the hypercube, we determine a subhypercube that contains the pair of vertices as antipodal vertices. Then a switching process is introduced for determining the subhypercube of a memory-enhanced hypercube that facilitates perfect state transfer between the desired pair of vertices. Furthermore, we propose a physical architecture for the pretty good state transfer implementation of our switching protocol with fidelity arbitrary close to unity, using superconducting transmon qubits with tunable couplings. The switching is realized by the control over the effective coupling between the qubits resulting from the effect of ancilla qubit couplers for the graph edges. We also report an error bound on the fidelity of state transfer due to faulty implementation of our protocol.

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Perfect state transfer on spin-1 chains

Cited by 7 publications

References 45 publications

Realization of a Quantum Integer-Spin Chain with Controllable Interactions

Realization of a Quantum Integer-Spin Chain with Controllable Interactions

Time-independent quantum circuits with local interactions

Perfect state transfer on hypercubes and its implementation using superconducting qubits

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