587 research outputs found

    LIPIcs, Volume 251, ITCS 2023, Complete Volume

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    LIPIcs, Volume 251, ITCS 2023, Complete Volum

    Optimality and Complexity in Measured Quantum-State Stochastic Processes

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    If an experimentalist observes a sequence of emitted quantum states via either projective or positive-operator-valued measurements, the outcomes form a time series. Individual time series are realizations of a stochastic process over the measurements' classical outcomes. We recently showed that, in general, the resulting stochastic process is highly complex in two specific senses: (i) it is inherently unpredictable to varying degrees that depend on measurement choice and (ii) optimal prediction requires using an infinite number of temporal features. Here, we identify the mechanism underlying this complicatedness as generator nonunifilarity -- the degeneracy between sequences of generator states and sequences of measurement outcomes. This makes it possible to quantitatively explore the influence that measurement choice has on a quantum process' degrees of randomness and structural complexity using recently introduced methods from ergodic theory. Progress in this, though, requires quantitative measures of structure and memory in observed time series. And, success requires accurate and efficient estimation algorithms that overcome the requirement to explicitly represent an infinite set of predictive features. We provide these metrics and associated algorithms, using them to design informationally-optimal measurements of open quantum dynamical systems.Comment: 31 pages, 6 appendices, 22 figures; http://csc.ucdavis.edu/~cmg/compmech/pubs/qdic.ht

    Fuzzy Natural Logic in IFSA-EUSFLAT 2021

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    The present book contains five papers accepted and published in the Special Issue, “Fuzzy Natural Logic in IFSA-EUSFLAT 2021”, of the journal Mathematics (MDPI). These papers are extended versions of the contributions presented in the conference “The 19th World Congress of the International Fuzzy Systems Association and the 12th Conference of the European Society for Fuzzy Logic and Technology jointly with the AGOP, IJCRS, and FQAS conferences”, which took place in Bratislava (Slovakia) from September 19 to September 24, 2021. Fuzzy Natural Logic (FNL) is a system of mathematical fuzzy logic theories that enables us to model natural language terms and rules while accounting for their inherent vagueness and allows us to reason and argue using the tools developed in them. FNL includes, among others, the theory of evaluative linguistic expressions (e.g., small, very large, etc.), the theory of fuzzy and intermediate quantifiers (e.g., most, few, many, etc.), and the theory of fuzzy/linguistic IF–THEN rules and logical inference. The papers in this Special Issue use the various aspects and concepts of FNL mentioned above and apply them to a wide range of problems both theoretically and practically oriented. This book will be of interest for researchers working in the areas of fuzzy logic, applied linguistics, generalized quantifiers, and their applications

    (b2023 to 2014) The UNBELIEVABLE similarities between the ideas of some people (2006-2016) and my ideas (2002-2008) in physics (quantum mechanics, cosmology), cognitive neuroscience, philosophy of mind, and philosophy (this manuscript would require a REVOLUTION in international academy environment!)

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    (b2023 to 2014) The UNBELIEVABLE similarities between the ideas of some people (2006-2016) and my ideas (2002-2008) in physics (quantum mechanics, cosmology), cognitive neuroscience, philosophy of mind, and philosophy (this manuscript would require a REVOLUTION in international academy environment!

    Quantum effects and novel physics in rotating frames

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    The birth of quantum physics and general relativity were two revolutions in physics. But a century later, scientists have not yet united the two theories. Attempts to combine them are mostly theoretical; controlled experiments have historically been neglected due to the comparative weakness of gravity and the corresponding precision or extreme scales assumed needed to test quantum gravity effects. We take a new approach, inspired by Einstein’s equivalence of gravitational fields and accelerated frames. Non-inertial frames can be controlled in the lab, and allows us to experimentally test new frame-dependent effects and already-established quantum effects in new regimes. This frame-dependence is fundamentally interesting by itself, but also provides parallels to curved spacetime effects. To that effect, I have carried out experiments in rotating frames and shown new effects. I have combined mechanical rotation with acoustics, sending sound waves through a rotating absorber. With this, I was the first to show experimental proof of the Zel’dovich effect: the amplification of waves carrying angular momentum by a rotating object. It is theorised the Zel’dovich effect should also generate electromagnetic waves out of the quantum vacuum, however the conditions are much harder to meet. I have also done optics experiments to show how rotation can affect quantum entanglement. The Hong-Ou-Mandel effect was used as a witness for antisymmetric entanglement between photons. The symmetry of frequency entangled photon pairs can be manipulated by introducing path superpositions and controlling their phase difference. Through experiment I established that to witness antisymmetry with the Hong-Ou-Mandel effect it was much easier in the regime where the superposed paths had path length differences outwith the single-photon coherence length. Within a rotating frame, a rotation-dependent phase difference between counterpropagating beams of light appears, called the Sagnac effect. Combining Sagnac interferometers with a Hong-Ou-Mandel interferometer on a rotating platform, I have shown how rotation can control the entanglement symmetry of photon pairs. The success of these experiments can be built on in future experiments exploring quantum effects in rotating frames and curved spacetimes. Identifying these effects has relevance in fundamental physics and to new technologies e.g. quantum communication, as it scales up to satellites in the curved spacetime around the rotating Earth

    Engineering Photon Sources for Practical Quantum Information Processing:If you liked it then you should have put a ring on it

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    Integrated quantum photonics offers a promising route to the realisation of universal fault-tolerant quantum computers. Much progress has been made on the theoretical aspects of a future quantum information processor, reducing both error thresholds and circuit complexity. Currently, engineering efforts are focused on integrating the most valuable technologies for a photonic quantum computer; pure single-photon sources, low-loss phase shifters and passivecircuit components, as well as efficient single-photon detectors and corresponding electronics.Here, we present efforts to target the former under the constraints imposed by the latter. We engineer the spectral correlations of photons produced by a heralded single-photon source, such that they produce photons in pure quantum states (99.1±0.1 % purity), and enable additional optimisation using temporal shaping of the pump field. Our source also has a high intrinsicheralding efficiency (94.0 ± 2.9 %) and produces photon pairs at a rate (4.4 ± 0.1 MHz mW−2) which is an order of magnitude better than previously predicted by the literature for a resonant source of this purity. Additionally, we present tomographic methodologies that fully describe the photonic quantum states that we produce, without the use of analytical models, and as a means of verifying the quantum states we create, entitled – "Quantum-referenced SpontaneousEmission Tomography" (Q-SpET). We also design reconfigurable photonic circuits that can be operated at cryogenic temperatures, with zero static power consumption, entitled – "Cladding Layer Manipulation" (CLM). These devices function as on-chip phase shifters, enabling the local reconfiguration of circuit elements using established technologies but removing the need for active power consumption to maintain the reconfigured circuit. These devices are capable ofan Lπ = 12.3 ± 0.3 ”m, a ∌7x reduction in length when compared to the thermo-optic phaseshifters used throughout this thesis. Finally, we investigate how pure photon sources operate as part of larger circuits within the typical design rules of photonic quantum circuits. Using this information to accurately model all of the spurious contributions to the final photonic quantumstate, which we call a form of nonlinear noise. This noise can decrease source purity to below 40 %, significantly affecting the fidelity of Hong-Ou-Mandel interference, and subsequently, our ability to reliably create fundamental resources for photonic quantum computers. All of this contributes to our design of a fundamental building block for integrated quantum photonic processors, the functionality of which can be predicted at scale, under the conditions imposed by the rest of the processor

    Themelio: a new blockchain paradigm

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    Public blockchains hold great promise in building protocols that uphold security properties like transparency and consistency based on internal, incentivized cryptoeconomic mechanisms rather than preexisting trust in participants. Yet user-facing blockchain applications beyond "internal" immediate derivatives of blockchain incentive models, like cryptocurrency and decentralized finance, have not achieved widespread development or adoption. We propose that this is not primarily due to "engineering" problems in aspects such as scaling, but due to an overall lack of transferable endogenous trust—the twofold ability to uphold strong, internally-generated security guarantees and to translate them into application-level security. Yet we argue that blockchains, due to their foundation on game-theoretic incentive models rather than trusted authorities, are uniquely suited for building transferable endogenous trust, despite their current deficiencies. We then engage in a survey of existing public blockchains and the difficulties and crises that they have faced, noting that in almost every case, problems such as governance disputes and ecosystem inflexibility stem from a lack of transferable endogenous trust. Next, we introduce Themelio, a decentralized, public blockchain designed to support a new blockchain paradigm focused on transferable endogenous trust. Here, the blockchain is used as a low-level, stable, and simple root of trust, capable of sharing this trust with applications through scalable light clients. This contrasts with current blockchains, which are either applications or application execution platforms. We present evidence that this new paradigm is crucial to achieving flexible deployment of blockchain-based trust. We then describe the Themelio blockchain in detail, focusing on three areas key to its overall theme of transferable, strong endogenous trust: a traditional yet enhanced UTXO model with features that allow powerful programmability and light-client composability, a novel proof-of-stake system with unique cryptoeconomic guarantees against collusion, and Themelio's unique cryptocurrency "mel", which achieves stablecoin-like low volatility without sacrificing decentralization and security. Finally, we explore the wide variety of novel, partly off-chain applications enabled by Themelio's decoupled blockchain paradigm. This includes Astrape, a privacy-protecting off-chain micropayment network, Bitforest, a blockchain-based PKI that combines blockchain-backed security guarantees with the performance and administration benefits of traditional systems, as well as sketches of further applications
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