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arXiv:1206.2538

Deterministic generation of N00N states using quantum dots in a cavity

Michael Niklaus Leuenberger, Mikhail Erementchouk

Published Jun 12, 2012• 0 citations
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Abstract

Compared to classical light sources, quantum sources based on N00N states consisting of $N$ photons achieve an $N$-times higher phase sensitivity, giving rise to super-resolution. N00N-state creation schemes based on linear optics and projective measurements only have a success probability $p$ that decreases exponentially with $N$, e.g. $p=4.4\times 10^{-14}$ for N=20. Feed-forward improves the scaling but $N$ fluctuates nondeterministically in each attempt. Schemes based on parametric down-conversion suffer from low production efficiency and low fidelity. A recent scheme based on atoms in a cavity combines deterministic time evolution, local unitary operations, and projective measurements. Here we propose a novel scheme based on the off-resonant interaction of $N$ photons with four semiconductor quantum dots (QDs) in a cavity to create N00N states deterministically with $p=1$ and fidelity above 90% for $N\lesssim 60$, without the need of any projective measurement or local unitary operation. Using our measure we obtain maximum $N$-photon entanglement $E_N=1$ for arbitrary $N$. Our method paves the way to the miniaturization of N00N-state sources to the nanoscale regime, with the possibility to integrate them on a computer chip based on semiconductor materials.

DOI
10.48550/arxiv.1206.2538

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Compared to classical light sources, quantum sources based on N00N states consisting of NNN photons achieve an NNN-times higher phase sensitivity, giving rise to super-resolution. N00N-state creation schemes based on linear optics and projective measurements only have a success probability ppp that decreases exponentially with NNN, e.g. p=4.4×10−14p=4.4\times 10^{-14}p=4.4×10−14 for N=20. Feed-forward improves the scaling but NNN fluctuates nondeterministically in each attempt. Schemes based on parametric down-conversion suffer from low production efficiency and low fidelity. A recent scheme based on atoms in a cavity combines deterministic time evolution, local unitary operations, and projective measurements. Here we propose a novel scheme based on the off-resonant interaction of NNN photons with four semiconductor quantum dots (QDs) in a cavity to create N00N states deterministically with p=1p=1p=1 and fidelity above 90% for N≲60N\lesssim 60N≲60, without the need of any projective measurement or local unitary operation. Using our measure we obtain maximum NNN-photon entanglement EN=1E_N=1EN​=1 for arbitrary NNN. Our method paves the way to the miniaturization of N00N-state sources to the nanoscale regime, with the possibility to integrate them on a computer chip based on semiconductor materials.
Compared to classical light sources, quantum sources based on N00N states consisting of N photons achieve an N-times higher phase sensitivity, giving rise to super-resolution.1, 2, 3 N00N-state creation schemes based on linear optics and projective measurements only have a success probability p that decreases exponentially with N,4, 5, 6 e.g. p = 4.4x10-14 for N = 20.7 Feed-forward improves the scaling but N fluctuates nondeterministically in each attempt.8, 9 Schemes based on parametric down-conversion suffer from low production efficiency and low fidelity.9 A recent scheme based on atoms in a cavity combines deterministic time evolution, local unitary operations, and projective measurements.10 Here we propose a novel scheme based on the off-resonant interaction of N photons with four semiconductor quantum dots (QDs) in a cavity to create GHZ states, also called polarization N00N states, deterministically with p = 1 and fidelity above 90% for N≤ 60, without the need of any projective measurement or local unitary operation. Using our measure we obtain maximum N-photon entanglement EN = 1 for arbitrary N. Our method paves the way to the miniaturization of N00N and GHZ-state sources to the nanoscale regime, with the possibility to integrate them on a computer chip based on semiconductor materials.
Multi-photon entangled states such as `N00N states' have attracted a lot of attention because of their possible application in high-precision phase measurements. So far, N00N states have been generated by spontaneous parametric down-conversion sources and by mixing quantum and classical light on a beam splitter. However, single-photon on demand sources promise to be more efficient and scalable than down-conversion sources which are probabilistic in nature. Here, we demonstrate super-resolving phase measurements based on two-photon N00N states generated by a quantum dot single-photon source utilizing the Hong-Ou-Mandel effect on a beam splitter. The quantum dot was excited through a two-photon resonant excitation scheme. Using a πππ-pulse, this results in the deterministic generation of indistinguishable single photons from both, the biexciton and exciton radiative recombination processes. Launching either type of the photons into both inputs of an interferometer, phase super-resolution, i.e. an interference fringe spacing with doubled rate relative to the single photon rate has been observed for both transitions. Interference visibilities of VN=2,XX=0.54±0.01V_{N=2,\mathit{XX}}=0.54\pm0.01VN=2,XX​=0.54±0.01 for the biexciton and VN=2,X=0.46±0.02V_{N=2,\mathit{X}}=0.46\pm0.02VN=2,X​=0.46±0.02 for the exciton transition have been obtained, respectively.
Multiphoton entangled states such as "N00N states" have attracted a lot of attention because of their possible application in high-precision, quantum enhanced phase determination. So far, N00N states have been generated in spontaneous parametric down-conversion processes and by mixing quantum and classical light on a beam splitter. Here, in contrast, we demonstrate superresolving phase measurements based on two-photon N00N states generated by quantum dot single-photon sources making use of the Hong-Ou-Mandel effect on a beam splitter. By means of pulsed resonance fluorescence of a charged exciton state, we achieve, in postselection, a quantum enhanced improvement of the precision in phase uncertainty, higher than prescribed by the standard quantum limit. An analytical description of the measurement scheme is provided, reflecting requirements, capability, and restraints of single-photon emitters in optical quantum metrology. Our results point toward the realization of a real-world quantum sensor in the near future.
Measurement-based quantum computing offers a promising route towards scalable, universal photonic quantum computation. This approach relies on the deterministic and efficient generation of photonic graph states in which many photons are mutually entangled with various topologies. Recently, deterministic sources of graph states have been demonstrated with quantum emitters in both the optical and microwave domains. In this work, we demonstrate deterministic and reconfigurable graph state generation with optical solid-state integrated quantum emitters. Specifically, we use a single semiconductor quantum dot in a cavity to generate caterpillar graph states, the most general type of graph state that can be produced with a single emitter. By using fast detuned optical pulses, we achieve full control over the spin state, enabling us to vary the entanglement topology at will. We perform quantum state tomography of two successive photons, measuring Bell state fidelities up to 0.80 ± 0.04 and concurrences up to 0.69 ± 0.09, while maintaining high photon indistinguishability. This simple optical scheme, compatible with commercially available quantum dot-based single photon sources, brings us a step closer to fault-tolerant quantum computing with spins and photons. Quantum emitters have recently been identified as efficient sources of graph states, which are entangled states crucial for photonic quantum computation. Here the authors demonstrate deterministic and reconfigurable generation of caterpillar graph states using a semiconductor quantum dot in a cavity.
The quick development of quantum technologies and quantum communication demands a continuous search for more efficient and with higher performance quantum sources and devices. In particular, quantum dots are firmly established sources of single photon emitters and entangled photon pairs, with entanglement of photons emitted by a single quantum dot probed in polarization[1], time-bin[2] and hyperentanglement[3]. Although spontaneous parametric down conversion sources (SPDC) are widely used as entangled photon sources with the highest values of entanglement[4], are being reached by quantum dot devices[5]. With similar quality as SPDC sources, QDs however stand out as sources with sub-Poissonian statistics, essential for safe quantum communication. Still, most of the quantum dots devices exhibit low extraction efficiencies. Attempts to maximize the extraction efficiency involve sophisticated engineered photonic systems[6,7]. Furthermore, the accurate alignment of the quantum dot-cavity system is crucial for an effective quantum dotcavity coupling and hence an emission enhancement into free space[8]. All of this implies the need of intricated nanofabrication processes. Here we present a simple, scalable photonic device that grants efficient creation of entangled photon pairs from InAs quantum dots. The device, spontaneously formed during the growth process, is based on pairs of bottom/top distributed bragg reflectors (DBRs). A propagating deformation in the DBRs, leads to the formation of self-aligned dimples on top of the QDs, resulting in a self-aligned quantum-dot cavity system[9]. Therefore, costly and complex deterministic nanofabrication techniques are not required. In this work, the device performance was characterized, showing experimental collection efficiencies of 0.17, with theoretically pair extraction efficiencies above 0.45. Furthermore, a Purcell enhancement up to 1.7 was obtained. Finally, the device potential to generate time-bin entangled photons was investigated performing state tomography measurements. The subsequent reconstruction of the density matrix yields a concurrence of 0.70(10) and a fidelity of 0.84(5).
Semiconductor quantum dots (QDs) have emerged as a premier solid-state platform for the deterministic generation of nonclassical light, offering a compelling pathway toward scalable quantum photonic systems. While single-photon emission from QDs has reached a high level of maturity, the realization of high-fidelity entangled photon-pair sources remains an active and rapidly evolving frontier. In this review, we survey the recent progress in QD-based entangled photon sources, highlighting the conceptual evolution from the established biexciton-exciton cascade to the emerging paradigm of spontaneous two-photon emission. We further examine how advances in nanophotonic architectures and coherent control strategies are redefining fundamental performance limits, enabling concurrent improvements in source brightness, coherence, and entanglement fidelity. Finally, we discuss the key physical and technological challenges that must be addressed to bridge the gap between laboratory demonstrations and large-scale deployment. We conclude by outlining the future opportunities for integrating QD-based entangled photon sources into practical quantum communication, computation, and sensing platforms.