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Generating correlations between multiple spins via optical measurement (Conference Presentation)

Mete Atatüre

Published Apr 28, 2017• 0 citations
Publisher

Abstract

Optically active semiconductor quantum dots offer high quality spin-photon interfaces for quantum optics applications. This interface can be used to generate distant entanglement between confined spins based on projective measurements. I will review current progress on this topic highlighting the crucial role played by coherent scattering.

DOI
10.1117/12.2249913

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Optically active semiconductor quantum dots offer high quality spin-photon interfaces for quantum optics applications. This interface can be used to generate distant entanglement between confined spins based on projective measurements. I will review current progress on this topic highlighting the crucial role played by coherent scattering.
Quantum entanglement emerges naturally in interacting quantum systems and plays a central role in quantum information processing. Remarkably, it is possible to generate entanglement even in the absence of direct interactions: provided that which path information is erased, weak spin-state dependent light scattering can be used to project two distant spins onto a maximally entangled state upon detection of a single photon. Even though this approach is necessarily probabilistic, successful generation of entanglement is heralded by the photon detection event. Here, we demonstrate heralded quantum entanglement of two quantum dot heavy-hole spins separated by 5 meters using single-photon interference. Thanks to the long coherence time of hole spins and the efficient spin-photon interface provided by self-assembled quantum dots embedded in leaky microcavity structures, we generate 2300 entangled spin pairs per second, which represents an improvement approaching three orders of magnitude as compared to prior experiments. Delayed two-photon interference scheme we developed allows for efficient verification of quantum correlations. Our results lay the groundwork for the realization of quantum networks in semiconductor nanostructures. Combined with schemes for transferring quantum information to a long-lived memory qubit, fast entanglement generation we demonstrate could also impact quantum repeater architectures.
Entanglement plays a central role in fundamental tests of quantum mechanics as well as in the burgeoning field of quantum information processing. Particularly in the context of quantum networks and communication, a major challenge is the efficient generation of entanglement between distant stationary (spin) qubits. Here, we report the realization of heralded quantum entanglement between two semiconductor quantum dot spins separated by more than five meters. Our results extend the previous demonstrations of distant spin entanglement in single trapped ions or neutral atoms, in atom ensembles and nitrogen vacancy centers to the domain of artificial atoms in semiconductor nanostructures that allow for onchip integration of electronic and photonic elements. Moreover the efficient spin-photon interface provided by self-assembled quantum dots[1] allows us to reach an unprecedented rate of 2300 entangled spin pairs per second, which represents an improvement of four orders of magnitude as compared to prior experiments[2]. The entanglement generation scheme relies on single photon interference of Raman scattered light from both dots[3]. A single photon detection projects the system into a maximally entangled state. We developed a delayed two-photon interference scheme that allows for efficient verification of quantum correlations. Our results lay the groundwork for the realization of quantum repeaters and quantum networks on a chip. [1] W.-B. Gao et al., Nature 491, 426 (2012) [2] L. Slodicka et al., Phys. Rev. Lett. 110, 083603 (2013) [3] C. Cabrillo et al. Phys. Rev. A 59, 1025 (1999) -1 0 1 2 3 4 5 6 7 8 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 data sine fit ra ti o pulse duration (arb. u.) F x = 29.8 ± 2.6 % 180 min 0.13 /s 0 19 37 56 74 93 112 0.0 0.1 0.2 0.3 0.4 0.5 0.6 total fidelity = 55.2 ± 3.5 % F Z = 80.6 ± 6.6 % c o in c id e n c e s / 1 0 6 .5 h measurement coincidences ideal case
Semiconductor quantum dots (QDs) are able to confine single charges on the nanoscale in all three dimensions of space, making them excellent systems for exploring quantum phenomena. In particular, QDs have demonstrated outstanding performance as sources of entangled and indistinguishable photon pairs, properties highly desired in the fields of quantum communication and -information processing. Here I report on the advances of QDs as potential resources for photonic quantum networks, which allow to overcome the fundamental range limitations of single photon-based applications. After an introduction to the underlying mechanisms of entangled photon pair generation, I demonstrate several building blocks of quantum networks, with quantum key distribution as a prime application.
Semiconductor quantum dots are the preferred choice for interfacing anchored matter spin qubits and flying photonic qubits. They are particularly attractive for generating highly entangled hybrid spin-multiphoton entangled cluster and graph states. These highly entangled multiqubit states are required for measurement-based quantum communication and computing. Here, the authors develop a novel all-optical method for conducting full tomography of the confined electronic spin qubits. This method is essential for characterization and benchmarking these hybrid entangled spin-multiphoton cluster and graph states.
Electron spins confined to self-assembled quantum dots are considered as nodes for a coherent optical network capable of supporting distributed quantum states. Through a series of experiments, the work contributing to this dissertation examines some of the key criteria for constructing such a network. First, the ability to optically extract a coherent spin state from the quantum dot without perturbing the nuclear environment is explored: nuclear feedback is an issue that has frustrated previous studies into electron spin coherence in these systems. With the novel techniques we develop, we identify and characterise the previously undetermined intrinsic mechanisms that govern the coherence of the central spin. We show how the coherence of the electron spin is intimately related to the growth of these strained nanostructures. Second, a model network is constructed in which two spins confined to separate quantum dots are projected into a highly entangled state. This is the first time electron spins in distant quantum dots have been entangled, and in doing so we demonstrate controllable entanglement generation at the highest rates recorded for optically accessible qubit definitions. We investigate the realisation of a hybrid quantum network by demonstrating the first interconnect between wholly different single quantum systems: a semiconductor quantum dot and a trapped ytterbium ion. In forming an optical link between these two complementary qubit definitions, we show that we can circumvent their intrinsic optical differences through coherent photon generation at the quantum dot. A network built from these diverse constituents could combine the ultrafast operations self-assembled quantum dots enable with the long coherence times states in trapped ions experience. Finally, in a step towards truly scalable entanglement generation between quantum dot spins, we design minimally invasive structures that will funnel large proportions of the optical dipole field from the optically dense material that surrounds the quantum dot. The techniques developed in this work and the knowledge gained from their operation should enable the demonstration the creation of high-order nonlocal states between quantum dot spins, single photons and trapped ions, as well as the development of new optically active systems that will benefit from enhanced spin coherence.
We demonstrate an entirely new method to probe quantum measurement phenomena in semiconductor quantum dot (QD) spin qubits [1]. In addition to providing direct evidence for the quantum nature of solid state qubits, we show that our method has practical importance since it provides a completely alternative route for measuring ensemble and quantum dephasing times, T2* and T2, using only repeated projective measurements and without the need for coherent spin control. Our approach is based on measuring time-correlators of a spin qubit in an optically active QD beyond the second order. We utilize a quantum dot spin-storage structure to initialize a single electron spin in a quantum dot subject to a magnetic field applied in Voigt geometry through tunnel ionization and perform repeated projective measurements of the spin at times t1 and t2. This measurement is repeated, corresponding to ensemble averaging, and the resulting third-order time correlations reveals rich physics: For times t1 or t2 < T2* Larmor precession is observed which reveals the ensemble dephasing time T2*. Importantly, even though the time-correlators were obtained through averaging many measurements for times t1 and t2 > T2* oscillations are observed that decay with the dephasing time T2 and allow its determination even without the need for coherent spin control. Finally, combining the third-order time correlator with the second-order time correlator allows to demonstrate a violation of Leggett-Garg type inequalities for certain times providing clear evidence for the quantum nature of the quantum dot spin. [1] A. Bechtold et al. Phys. Rev. Lett. 117, 027402 (2016)