Entanglement-enhanced testing of multiple quantum hypotheses

The readout of a classical memory can be modelled as a problem of quantum channel discrimination, where a decoder retrieves information by distinguishing the different quantum channels encoded in each cell of the memory (Pirandola 2011 Phys. Rev. Lett.106 090504). In the case of optical memories, such as CDs and DVDs, this discrimination involves lossy bosonic channels and can be remarkably boosted by the use of nonclassical light (quantum reading). Here we generalize these concepts by extending the model of memory from single-cell to multi-cell encoding. In general, information is stored in a block of cells by using a channel-codeword, i.e. a sequence of channels chosen according to a classical code. Correspondingly, the readout of data is realized by a process of ‘parallel’ channel discrimination, where the entire block of cells is probed simultaneously and decoded via an optimal collective measurement. In the limit of a large block we define the quantum reading capacity of the memory, quantifying the maximum number of readable bits per cell. This notion of capacity is nontrivial when we suitably constrain the physical resources of the decoder. For optical memories (encoding bosonic channels), such a constraint is energetic and corresponds to fixing the mean total number of photons per cell. In this case, we are able to prove a separation between the quantum reading capacity and the maximum information rate achievable by classical transmitters, i.e. arbitrary classical mixtures of coherent states. In fact, we can easily construct nonclassical transmitters that are able to outperform any classical transmitter, thus showing that the advantages of quantum reading persist in the optimal multi-cell scenario.

An interdisciplinary quantum communications and sensing research effort has been underway at the NASA Glenn Research Center since the summer of 2000. Researchers in the Communications Technology, Instrumentation and Controls, and Propulsion and Turbomachinery Divisions have been working together to study and develop techniques that use the principle of quantum entanglement (QE). This work is supported principally by the Nanotechnology Base R&T program at Glenn. As applied to communications and sensing, QE is an emerging technology that holds promise as a new and innovative way to communicate faster and farther, and to sense, measure, and image environmental properties in ways that are not possible with existing technology. Quantum entangled photons are inseparable as described by a wave function formalism. For two entangled photons, the term inseparable means that one cannot describe one photon without completely describing the other. This inseparability gives rise to what appears as spooky, or nonintuitive, behavior because of the quantum nature of the process. For example, two entangled photons of lower energy can be created simultaneously from a single photon of higher energy in a process called spontaneous parametric down-conversion. Our research is focused on the use of polarization-entangled photons generated by passing a high-energy (blue) photon through a nonlinear beta barium borate crystal to generate two red photons that have orthogonal, but entangled, polarization states. Although the actual polarization state of any one photon is not known until it is measured, the act of measuring the polarization of one photon completely determines the polarization state of its twin because of entanglement. This unique relationship between the photons provides extra information about the system. For example, entanglement makes it easy to distinguish entangled photons from other photons impinging on a detector. For many other applications, ranging from quantum computation and information to quantum sensing, the entanglement property is critical.

We discuss the possibility of quantum interferences and entanglement of photons which exist at different intervals of time. The corresponding two-photon correlation function is shown to violate Bell's inequalities.

Quantum entanglement, one of the defining features of quantum mechanics, has been demonstrated in a variety of nonlinear spinlike systems. Quantum entanglement in linear systems has proven significantly more challenging, as the intrinsic energy level degeneracy associated with linearity makes quantum control more difficult. Here we demonstrate the quantum entanglement of photon states in two independent linear microwave resonators, creating N-photon NOON states (entangled states |N0> + |0N>) as a benchmark demonstration. We use a superconducting quantum circuit that includes Josephson qubits to control and measure the two resonators, and we completely characterize the entangled states with bipartite Wigner tomography. These results demonstrate a significant advance in the quantum control of linear resonators in superconducting circuits.

A quantum entangled radar uses entangled photons instead of separate photons. It has been shown that for quantum entangled interferometers that the value of quantum entanglement deteriorates in an environment with attenuation. This paper introduces a correction method that allows the quantum radar to maintain excellent performance even when dealing with an environment with attenuation. The correction method is analogous to techniques used in adaptive optics to improve images. Correction approaches based on signal sources deliberately introduced into the environment and electromagnetic sources already present in the environment are considered. Closed form expressions for estimating the range error are derived for the cases when the radar uses N entangled photons for imaging or N separate imaging photons. Simulations of radar range error estimates for entangled and separate photon cases for propagation media with widely varying attenuation properties are provided. Comparisons of estimates with and without atmospheric correction are given. The atmospheric correction method extends the range of the beneficial effects of entanglement by a factor of 82, i.e. to 5000 km for a slowly varying propagation medium. For a propagation medium with 50 times as much variation, the atmospheric correction method offers super sensitivity for three times the range of the uncorrected case.

Deterministic sources of high-fidelity entangled qubit pairs encoded in the dual-rail photonic basis, i.e., presence of a single photon in one of two orthogonal modes, are a key enabling technology of many applications of quantum information processing, including high-rate, high-fidelity quantum communications over long distances. The most popular and mature sources of such photonic entanglement, e.g., those that leverage spontaneous parametric down-conversion (SPDC) or spontaneous four-wave mixing, generate an entangled (so-called continuous-variable) quantum state that contains contributions from high-order photon terms that lie outside the span of the dual-rail basis, which is detrimental to most applications. One often uses low pump power to mitigate the effects of those high-order terms. However, that reduces the pair generation rate, and the source becomes inherently probabilistic. We investigate a cascaded source that performs a linear-optical entanglement swap between two SPDC sources, to generate a heralded photonic entangled state that has a higher fidelity (to the ideal Bell state) compared to a free-running SPDC source. Furthermore, with the Bell swap providing a heralding trigger, we show how to build a multiplexed source, which despite reasonable switching losses and detector loss and noise, yields a fidelity versus success probability trade-off of a high-efficiency source of high-fidelity dual-rail photonic entanglement. We find, however, that there is a threshold of $1.5$ dB of loss per switch, beyond which multiplexing hurts the fidelity versus success probability trade-off.

The evolution of brain-expressed genes is notably slower than that of genes expressed in other tissues, a phenomenon likely due to high-level functional constraints. One such constraint might be the integration of information by neuron assemblies, enhancing environmental adaptability. This study explores the physiological mechanisms of information integration in neurons through three types of synchronization: chemical, electromagnetic, and quantum. Chemical synchronization involves the diffuse release of neurotransmitters like dopamine and acetylcholine, causing transmission delays of several milliseconds. Electromagnetic synchronization encompasses action potentials, electrical gap junctions, and ephaptic coupling. Electrical gap junctions enable rapid synchronization within cortical GABAergic networks, while ephaptic coupling allows structures like axon bundles to synchronize through extracellular electromagnetic fields, surpassing the speed of chemical processes. Quantum synchronization is hypothesized to involve ion coherence during ion channel passage and the entanglement of photons within the myelin sheath. Unlike the finite-time synchronization seen in chemical and electromagnetic processes, quantum entanglement provides instantaneous non-local coherence states. Neurons might have evolved from slower chemical diffusion to rapid temporal synchronization, with ion passage through gap junctions within cortical GABAergic networks potentially facilitating both fast gamma band synchronization and quantum coherence. This mini-review compiles literature on these three synchronization types, offering new insights into the physiological mechanisms that address the binding problem in neuron assemblies.

Quantum imaging utilizing entangled photon pairs takes advantage of their strong quantum correlations to surpass the limitations of classical imaging techniques in terms of spatial resolution and signal-to-noise ratio. However, due to the low brightness of entangled photon sources, an enormous amount number of intensity images (\(\sim 10^7\)) is required for imaging, posing a challenge for practical implementation. In this study, we propose the use of a BiBO crystal for generating entangled photons to enhance the efficiency of quantum imaging. A BiBO crystal has large nonlinear optical coefficient, so it has been expected to serve as a high-brightness entangled photon source. However, a BiBO crystal has never been applied to quantum imaging because it's relatively recently discovered. Here, we investigate the potential of a BiBO crystal as a light source for high-efficiency quantum imaging by performing parallel intensity correlation measurements and implementing quantum image distillation as an example in comparison with the commonly used a BBO crystal. As a result, we achieved a tenfold reduction in measurement time of the conventional method and a significant improvement in imaging efficiency.

Quantum radar based on the mechanism of quantum physics and the quantum information is a new sensing technology that was developed to solve technology bottleneck of classic radar. Especially, The Quantum illumination based on entanglement light beam could overcome noise and information loss. In this paper, the principle of quantum radar is introduced in detail, and the quantum illumination radar scheme using entangled photons is discussed. Then, target detection method based on entangled photons is given, and simulation results are showed. Finally, it is demonstrated by experiments that the performance of entangled photon detection system is superior to non-entangled photon detection system in a noisy and lossy environment, and the targets appear to look bigger when looked with low photon number.

We investigate the generation of two-mode entangled light from cooperative three-level cascade emitters driven by two lasers inside an optical cavity. It is found that through collective coherent population trapping (CPT) to prepare the atomic states close to the coherent superposition state |1 > — |3>/√22 of the top and ground levels, the entanglement and mean photon number of the entangled light can be significantly enhanced in comparison to the case of independent atoms.

When two or more systems exhibit correlations that are stronger than those that can be explained traditionally, notwithstanding their spatial separation, this phenomenon is known as quantum entanglement. It is regarded as a key component of upcoming quantum technologies and one of the distinctive qualities of quantum physics. The transverse spatial degree of freedom in photonic experiments gives enormous opportunity to investigate different fascinating properties of light. This thesis has therefore focused on the photonic entanglement of transverse spatial formations in order to better explore the nature of quantum entanglement. The orbital angular momentum of photons is an intriguing characteristic caused by their spatial mode structure. Surprisingly, the maximum number of orbital angular momentum quanta that a single photon may carry is unbounded theoretically. As a result, it seems like a good candidate for evaluating photonic entanglement of macroscopic values. It may also add to discussions on macroscopicity and a potential breakdown of quantum mechanics beyond a certain point. Quantum entanglement is a fascinating phenomenon that lies at the heart of quantum mechanics, challenging our traditional understanding of the physical world. This paper aims to provide an overview of quantum entanglement, its experimental verification, and the implications it has on our comprehension of reality. By delving into its theoretical underpinnings and discussing the ongoing debates, we seek to answer the question: Does quantum entanglement make sense?

Quantum coherence and entanglement, which are essential resources for quantum information, are often degraded and lost due to decoherence. Here, we report a proof-of-principle experimental demonstration of high fidelity entanglement distribution over decoherence channels via qubit transduction. By unitarily switching the initial qubit encoding to another, which is insensitive to particular forms of decoherence, we have demonstrated that it is possible to avoid the effect of decoherence completely. In particular, we demonstrate high-fidelity distribution of photonic polarization entanglement over quantum channels with two types of decoherence, amplitude damping and polarization-mode dispersion, via qubit transduction between polarization qubits and dual-rail qubits. These results represent a significant breakthrough in quantum communication over decoherence channels as the protocol is input-state independent, requires no ancillary photons and symmetries, and has near-unity success probability.

Coincidence, or ghost, imaging is a technique that uses two correlated optical fields to form an image of an object. In this work we identify aspects of coincidence imaging which can be performed with classically correlated light sources and aspects which require quantum entanglement. We find that entangled photons allow high-contrast, high-resolution imaging to be performed at any distance from the light source. We demonstrate this fact by forming ghost images in the near and far fields of an entangled photon source, noting that the product of the resolutions of these images is a factor of 3 better than that which is allowed by classical diffraction theory.

The on‐chip integration of quantum light sources has enabled the realization of complex quantum photonic circuits. However, for the practical implementation of such circuits in quantum information applications, it is crucial to develop sources delivering entangled quantum photon states with on‐demand tunability. Here we propose and experimentally demonstrate the concept of a widely tunable quantum light source based on spontaneous parametric down‐conversion in a simple nonlinear directional coupler. We show that spatial photon‐pair correlations and entanglement can be reconfigured on‐demand by tuning the phase difference between the pump beams and the phase mismatch inside the structure. We experimentally demonstrate the generation of split states, robust N00N states, various intermediate regimes and biphoton steering on a single chip. Furthermore we theoretically investigate other regimes allowing all‐optically tunable generation of all Bell states and flexible control of path‐energy entanglement. Such wide‐range capabilities of a structure comprised of just two coupled nonlinear waveguides are attributed to the intricate interplay between linear coupling and nonlinear phase matching. This scheme provides an important advance towards the realization of reconfigurable quantum circuitry. image

Quantum computing enhanced knowledge tracing: Personalized KT research for mitigating data sparsity