Matrix Syntax: Foundations & Prospects
Matrix syntax is a formal model of syntactic relations, based on a conservative and a radical assumption. The conservative assumption dates back to antiquity: that the fundamental divide in human language is between nouns and verbs, which are “conceptually at right angles” (as different as substantive words can be). The radical assumption is that such a conceptual orthogonality could be treated as a formal orthogonality in a vector space, with all its consequences.
Density functionals, Kohn-Sham potentials, and Green’s functions from a quantum computer
Solving quantum chemistry problems on the quantum computer faces several hurdles in practical implementation [1]. Nevertheless, even incremental improvements in finding exact solutions for quantum chemistry can lead to real improvements in everyday life, so exploring the capabilities for quantum computers is worthwhile. In this talk, I discuss how to export solutions from a quantum computer to a classical user as a machine learned model [2,3].
Quantum Query-to-Communication Simulation Needs a Logarithmic Overhead
Buhrman, Cleve and Wigderson (STOC'98) observed that for every Boolean function f : {-1, 1}^n to {-1, 1}, the two-party bounded-error quantum communication complexity of 2-bit distributed versions of f is O(Q(f) log n), where Q(f) denotes the bounded-error quantum query complexity of f. This is in contrast to the classical randomized analogue of this statement, where the log n factor is absent. A natural question is if this O(log n) factor can be avoided. Aaronson and Ambainis (FOCS'03) showed that this factor is avoidable when f = OR.
Quantum Renyi relative entropies and their use
The past decade of research in quantum information theory has witnessed extraordinary progress in understanding communication over quantum channels, due in large part to quantum generalizations of the classical Renyi relative entropy. One generalization is known as the sandwiched Renyi relative entropy and finds its use in characterizing asymptotic behavior in quantum hypothesis testing. It has also found use in establishing strong converse theorems (fundamental communication capacity limitations) for a variety of quantum communication tasks.
Limitations of Hartree-Fock with quantum resources
The Hartree-Fock problem provides the conceptual and mathematical underpinning of a large portion of quantum chemistry. As efforts in quantum technology aim to enhance computational chemistry algorithms, the fundamental Hartree-Fock problem is a natural target. While quantum computers and quantum simulation offer many prospects for the future of modern chemistry, the Hartree-Fock problem is not a likely candidate.
Classical homomorphic encryption for quantum circuits
We present the first leveled fully homomorphic encryption scheme for quantum circuits with classical keys. The scheme allows a classical client to blindly delegate a quantum computation to a quantum server: an honest server is able to run the computation while a malicious server is unable to learn any information about the computation. We show that it is possible to construct such a scheme directly from a quantum secure classical homomorphic encryption scheme with certain properties.
Quantum Machine Learning: prospects and challenges
We will review recent work on Quantum Machine Learning and discuss the prospects and challenges of applying this new exciting computing paradigm to machine learning applications. We will also discuss a very recent implementation of our quantum classification algorithms on quantum hardware.
https://www.youtube.com/watch?v=lgLq8Ksg0oM
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Asymptotic freedom and non-perturbative photon-photon interactions in multi-mode circuit QED
In this work we explore the energy spectrum of a superconducting circuit consisting of a single fluxonium atom coupled to a long section of 1-D transmission line. Owing to the strong anharmonicity of the fluxonium we uncover a new many-body effect, dressing of photons by photons. Specifically, fluxonium's local non-linearity leads to hybridization between one-photon states and nearly resonant multi-photon states. Accounting for this effect requires deriving the correct multi-mode light matter coupling model of our circuit.
Quantum Simulation of Hyperbolic Space with Circuit Quantum Electrodynamics
Looking for some fresh bathroom tiles? Why don't you try regular 7-gons this time, it looks amazing! Only requirement: You'd need to live in hyperbolic space of constant negative curvature. To see how this would be like, let me take you onto a journey into hyperbolic space through recent breakthrough experiments in circuit quantum electrodynamics, where such tilings are realized with superconducting resonators and photons are tricked into believing that space is hyperbolic.
Toward scalable quantum computing with a mixed-species Ba-Yb ion chain
Abstract: Trapped ions are among the most promising candidates for quantum information processors based on their unique properties such as long coherence time, high fidelity state initialization, manipulation and detection. In order to scale up quantum information processors based on trapped ions, efficient sympathetic cooling between different atomic species is required. In this work, we investigate both numerically and experimentally linear harmonic trap parameters to efficiently doppler-cool radial modes of mixed-species Ba-Yb ion chain [1].