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Deterministic quantum feedback control in probabilistic atom-photon entanglement

Oliver Barter

Published Jan 1, 2016• 0 citations
Publisher

Abstract

The prospect of a universal quantum computer is alluring, yet formidable. Smaller scale quantum information processing, however, has been demonstrated. Quantum networks, interlinking flying and stationary qubits, and linear optical quantum computing (LOQC) are both good candidates for scaling up such computations. A strongly coupled atom-cavity system is a promising approach for applications in these fields, both as a node in a quantum network, and as a source of photons for LOQC. This thesis demonstrates the versatile capabilities of an atom-cavity system comprising a single 87Rb atom within a macroscopic high-finesse Fabry-Pérot cavity. It operates intermittently for periods of up to 100 μs, with single-photon repetition rates of 1 MHz and an intra-cavity production efficiency of up to 85%. Exploiting the long coherence time of around 500 ns, the photons are subdivided into d time bins, with arbitrary amplitudes and phases, thus encoding arbitrary qudits. High fidelity quantum logic is shown, operating a controlled-NOT gate integrated into a photonic chip with a classical fidelity of 95.9+1.4-1.7 %. Additionally, the generation of entanglement is verified and non-classical correlations between events separated by periods exceeding the travel time across the chip by three orders of magnitude are observed. Photonic quantum simulation is performed, using temporally encoded qudits to mimic the correlation statistics of both fermions and anyons, in addition to bosons. Finally measurement-based quantum feedback is demonstrated and used to actively control the routing of temporal qubits.

DOI
10.5287/ora-yerxaz1ke

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The prospect of a universal quantum computer is alluring, yet formidable. Smaller scale quantum information processing, however, has been demonstrated. Quantum networks, interlinking flying and stationary qubits, and linear optical quantum computing (LOQC) are both good candidates for scaling up such computations. A strongly coupled atom-cavity system is a promising approach for applications in these fields, both as a node in a quantum network, and as a source of photons for LOQC. This thesis demonstrates the versatile capabilities of an atom-cavity system comprising a single 87Rb atom within a macroscopic high-finesse Fabry-Pérot cavity. It operates intermittently for periods of up to 100 μs, with single-photon repetition rates of 1 MHz and an intra-cavity production efficiency of up to 85%. Exploiting the long coherence time of around 500 ns, the photons are subdivided into d time bins, with arbitrary amplitudes and phases, thus encoding arbitrary qudits. High fidelity quantum logic is shown, operating a controlled-NOT gate integrated into a photonic chip with a classical fidelity of 95.9+1.4-1.7 %. Additionally, the generation of entanglement is verified and non-classical correlations between events separated by periods exceeding the travel time across the chip by three orders of magnitude are observed. Photonic quantum simulation is performed, using temporally encoded qudits to mimic the correlation statistics of both fermions and anyons, in addition to bosons. Finally measurement-based quantum feedback is demonstrated and used to actively control the routing of temporal qubits.
One of today’s challenges to realise computing based on quantum mechanics is to reliably and scalably encode information in quantum systems. Here, we present a photon source to on-demand deliver photonic quantum bits of information based on a strongly coupled atom-cavity system. The source operates intermittently for periods of up to 100 μs, with a single-photon repetition rate of 1 MHz, and an intra-cavity production efficiency of up to 85%. Our ability to arbitrarily control the photons’ wavepackets and phase profiles, together with long coherence times of 500 ns, allows to store time-bin encoded quantum information within a single photon. To do so, the spatio-temporal envelope of a single photon is sub-divided in d time bins which allows for the delivery of arbitrary qu-d-its. This is done with a fidelity of > 95% for qubits, and 94% for qutrits verified using a newly developed time-resolved quantum-homodyne measurement technique. Additionally, we combine two separate fields of quantum physics by using our deterministic single-photon source to seed linear optics quantum computing (LOQC) circuits. As a step towards quantum networking, it is shown that this photon source can be combined with quantum gates, namely a chip-integrated beam splitter, a controlled-NOT (CNOT) gate as well as a CNOT4 gate. We use this CNOT4 gate to entangle photons deterministically emitted from our source and observe non-classical correlations between events separated by periods exceeding the travel time across the chip by three orders of magnitude. Additionally, we use time-bin encoded qubits to systematically study the de- and re-phasing of quantum states as well as the the effects of time-varying internal phases in photonic quantum circuits.
The possibility of creating a scaleable quantum network by interconverting photonic and atomic qubits shows great promise. The fundamental requirement for such a network is deterministic control over the emission and absorption of photons from single atoms. This thesis reports on the experi-mental construction of a photon source that can emit single-photons with arbitrary spatio-temporal shape, phase, and frequency. The photon source itself is a strongly-coupled atom cavity system based on a single 87 Rb atom within a macroscopic high-finesse Fabry-Perot cavity. It operates intermittently for periods of up to 100µs, with single-photon repetition rates of 1.0 MHz and an efficiency of almost 80%. Atoms are loaded into the cavity using an atomic fountain, with the upper turning point near the centre of the cavity mode. This ensures long interaction times without any disturbances introduced by trapping potentials. The photons’ indistinguishability was tested, with a two-photon Hong-Ou-Mandel visibility of 87%. This ability to both generate, and control, the photons’ properties, for example producing photons with symmetric or multi-peaked spatio-temporal shapes, allows for the production of photons in an n-time-bin superposition state where each time-bin has an arbitrarily defined amplitude and phase. These photons can be used as photonic qubits, qutrits and qquads, and their properties have been tested using a small linear-optics network.
One of today’s challenge to realize computing based on quantum mechanics is to reliably and scalably encode information in quantum systems. Here, we present a photon source to on-demand deliver photonic quantum bits of information based on a strongly coupled atom-cavity system. It operates intermittently for periods of up to 100μs, with a single-photon repetition rate of 1MHz, and an intra-cavity production e!ciency of up to 85%. Due to the photons inherent coherence time of 500ns and our ability to arbitrarily shape their amplitude and phase profile we time-bin encode information within one photon. To do so, the spatio-temporal envelope of a single photon is sub-divided in d time bins which allows for the delivery of arbitrary qu-d-its. The latter is done with a fidelity of > 95% for qubits, and 94% for qutrits verified using a newly developed time-resolved quantum-homodyne technique.
Summary form only given. One of today's challenges to realize computing based on quantum mechanics is to reliably and scalably encode information in quantum systems. This is particularly crucial when dealing with promising approaches such as linear optics quantum computing (LOQC) in photonic circuits [1,2]. Although this method is in principle scalable, in practice it is limited by the probabilistic nature of spontaneous parametric down-conversion (SPDC) sources used to seed the circuits.Here, we demonstrate a novel tool to deterministically deliver quantum bits of information for LOQC circuits with the help of single photons emitted from a strongly coupled atom-cavity system (Fig. [1a]). Due to the ≈ 500ns coherence time of these photons [3] and our ability to arbitrarily shape their amplitude and phase profile we time-bin encode the information within one photon. Therefore, the preparation of a single photon sub-divided in d time bins allows for the delivery of arbitrary qu-d-its. RCPWe verify the fidelity of the quantum state preparation with time-resolved quantum-homodyne measurements [4], performed by sending single signal and reference photons into an elementary photonic circuit. Photon correlations monitored in a time-resolved manner then allow the state to be partially reconstructed. To obtain more insight into the time-bin encoding of information within one photon, it is helpful to define a `virtual' photonic circuit (Fig. [1b]) where temporal modes are displayed as spatial ones. Due to the photons being much longer than the detector time resolution, the absolute time of each photo-detection is used to associate the event with one of these virtual detectors. In this way, the respective number of cross-correlation signals for qubits and qutrits, respectively, can be found (Fig. [1c]). We obtain photon production efficiencies up to 85% and state-preparation fidelities of F=96% [4]. Due to the timebin encoding taking place upon the photon's generation process, our technique is inherently non-probabilistic, versatile, reconfigurable and not subject to systematic photon losses. Time-bins as an additional degree of freedom in LOQC experiments and an their deterministic photon-generation scheme can be regarded as a big step towards large-scale quantum computing in photonic networks.
We demonstrate quantum logic using narrow linewidth photons that are produced with an a priori nonprobabilistic scheme from a single ^{87}Rb atom strongly coupled to a high-finesse cavity. We use a controlled-not gate integrated into a photonic chip to entangle these photons, and we observe nonclassical correlations between photon detection events separated by periods exceeding the travel time across the chip by 3 orders of magnitude. This enables quantum technology that will use the properties of both narrow-band single photon sources and integrated quantum photonics.
For quantum computation the efficient preparation and connection of multiple qubits must be addressed. This includes linear optical quantum computation and quantum networks of stationary nodes interlinked by flying qubits. A quantum emitter coupled to a single mode of the electric field is a versatile tool, with the potential to provide the on-demand generation of single photons or a matter-light interface in a quantum network. This thesis presents the construction and characterisation of an \emph{a priori} deterministic single-photon source using single 87Rb atoms coupled to a high finesse optical cavity. These photons show a high degree of indistinguishability and long coherence times with a two-photon Hong-Ou-Mandel visibility of (70.8±4.6)% over the entire interaction time of 300ns long photons, further increasing to ≥97.8% by post-selecting only detection events within 23ns of each other. No degradation of performance is observed when interfering these pairs through a 4x4 multimode interferometer integrated onto a photonic chip with non-classical correlations measured between photon detections orders of magnitude further separated in time than the propagation time through the chip. The production scheme for polarised single photons is considered in detail. Cavity birefringence is found to alter the polarisation state of the emitted photons and a novel model to incorporate this effect is presented. Further deviations from a simple coupling model are observed in the modified hyperfine atomic structure in the intermediate strength magnetic fields required for polarised photon emission. The behaviour in this regime is modelled and shown to explain previously unresolved observations of the asymmetric production efficiencies of orthogonally polarised photons.