Optimal verification of entanglement in a photonic cluster state experiment

Wunderlich, Harald; Vallone, Giuseppe; Mataloni, Paolo; Plenio, Martin B.

doi:10.1088/1367-2630/13/3/033033

Cited by 10 publications

(12 citation statements)

References 34 publications

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“…Similarly to Refs. [12,15] we propose to use two-photon states to encode four-qubit cluster states. However, instead of exploiting hyper-entanglement between polarization and spatial modes, we will use spatially distributed entanglement across an array.…”

Section: Nonlinear Spatial Entanglement Generationmentioning

confidence: 99%

“…In quantum photonics the nonlinear interactions required for gates between single photons are challenging to realize [9], while measurement based approaches to quantum computation, including those employing cluster states, can be more readily implemented [10]. Cluster states based on photonic polarization qubits have been generated in bulk optical systems utilizing nonlinear optics [11][12][13][14][15][16] or periodically driven quantum dots [17] to achieve the required entanglement between multiple photons. The basic elements of quantum computation have been demonstrated with these polarization qubit states, including qubit rotation, two-qubit gates and small scale versions of algorithms, such as Grover's algorithm [11].…”

Section: Introductionmentioning

confidence: 99%

“…Typically photonic cluster states are generated in bulk optical setups by passing a pulsed pump laser twice through a nonlinear crystal, generating a pair of photons by spontaneous parametric down-conversion (SPDC) on each pass giving a four photon polarization entangled state [11]. Alternatively just two photons can be used, since by exploiting hyper-entanglement in spatial and polarization degrees of freedom four qubits can be encoded in the two photons [12,15]. This approach has the advantage of producing higher photon count rates, while still producing nontrivial four qubit cluster states.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Reconfigurable cluster-state generation in specially poled nonlinear waveguide arrays

2020

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We present a new approach for generating cluster states on-chip, with the state encoded in the spatial component of the photonic wavefunction. We show that for spatial encoding, a change of measurement basis can improve the practicality of cluster state algorithm implementation, and demonstrate this by simulating Grover's search algorithm. Our state generation scheme involves shaping the wavefunction produced by spontaneous parametric down-conversion in on-chip waveguides using specially tailored nonlinear poling patterns. Furthermore the form of the cluster state can be reconfigured quickly by driving different waveguides in the array. Importantly, this approach allows cluster states to be generated directly from a nonlinear optical process, without requiring additional optical transformations to be applied after the initial quantum state is generated.

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Section: Nonlinear Spatial Entanglement Generationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Reconfigurable cluster-state generation in specially poled nonlinear waveguide arrays

2020

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“…Finally, in Fig. 3, we present results for the quasi-twodimensional model, in which each two-dimensional subsystem is governed by the Heisenberg model such that the total Hamiltonian readŝ (24) and (21). We use the following choice of scattering vectors:…”

Section: Numerical Analysis Of Magnetic Materialsmentioning

confidence: 99%

Quantifying entanglement with scattering experiments

et al. 2014

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We show how the entanglement contained in states of spins arranged on a lattice may be quantified with observables arising in scattering experiments. We focus on the partial differential cross-section obtained in neutron scattering from magnetic materials but our results are sufficiently general such that they may also be applied to, e.g., optical Bragg scattering from ultracold atoms in optical lattices or from ion chains. We discuss resonating valence bond states and ground and thermal states of experimentally relevant models--such as Heisenberg, Majumdar-Ghosh, and XY model--in different geometries and with different spin numbers. As a by-product, we find that for the one-dimensional XY model in a transverse field such measurements reveal factorization and the quantum phase transition at zero temperature

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“…This has a significant hurdle because of site accessibility and lack of single-atom addressability. Another issue is that it is very difficult to check and verify the entanglement in the prepared entangled/graph states [20] when relying on tomography by individual qubit measurements. Thus, an efficient verification scheme is also an important and urgent matter in MBQC based on optical lattices.…”

Section: Introductionmentioning

confidence: 99%

Generating and verifying graph states for fault-tolerant topological measurement-based quantum computing in two-dimensional optical lattices

et al. 2013

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We propose two schemes for implementing graph states useful for fault-tolerant topological measurement-based quantum computation in 2D optical lattices. We show that bilayer cluster and surface code states can be created by global single-row and controlled-Z operations. The schemes benefit from the accessibility of atom addressing on 2D optical lattices and the existence of an efficient verification protocol which allows us to ensure the experimental feasibility of measuring the fidelity of the system against the ideal graph state. The simulation results show potential for a physical realization toward fault-tolerant measurement-based quantum computation against dephasing and unitary phase errors in optical lattices.

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Optimal verification of entanglement in a photonic cluster state experiment

Cited by 10 publications

References 34 publications

Reconfigurable cluster-state generation in specially poled nonlinear waveguide arrays

Reconfigurable cluster-state generation in specially poled nonlinear waveguide arrays

Quantifying entanglement with scattering experiments

Generating and verifying graph states for fault-tolerant topological measurement-based quantum computing in two-dimensional optical lattices

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