The geometry of quantum computation
Web1 Dec 2007 · The paper by R. Mosseri and P. Ribeiro presents a detailed description of the two-and three-qubit geometry in Hilbert space, dealing with the geometry of fibrations … Web1 Mar 2012 · We answer a question of L. Grasedyck that arose in quantum information theory, showing that the limit of tensors in a space of tensor network states need not be a tensor network state. ... Computing algebraic formulas using a constant number of registers, SIAM J. Comput. 21 (1992), ... Algebraic geometry, Graduate Texts in Mathematics, vol. …
The geometry of quantum computation
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Web24 Feb 2006 · A quantum computation is usually described as a sequence of logical gates, each coupling only a small number of qubits. The sequence of gates determines a unitary … Web24 Feb 2000 · Conditional geometric (or ‘Berry’) phases depend only on the geometry of the path executed, and are therefore resilient to certain types of errors; this suggests the possibility of an...
Web7 Feb 2024 · From Abstract Ideas To Concrete Geometry Put in a sentence, the Bloch sphere is a geometric representation of the aforementioned “quantum states” on the surface of a 3d unit sphere, which... Web15 Dec 2009 · The present work presents an expository review of the Riemannian geometry of the special unitary unimodular group manifold associated with quantum computation, and detailed derivations are presented of a suitable connection and geodesic equation expressed in terms of the tensor products of Pauli matrices appearing in the Hamiltonian …
Web16 Jun 2024 · Symplectic geometry of unbiasedness and critical points of a potential. Primitive Forms and Related Subjects — Kavli IPMU 2014, 1–18, Mathematical Society of … WebThe geometry of quantum computation (pp0861-0899) ... geodesics of a simple and well understood metric to the geodesics of the metric of interest in quantum computation. …
Web15 Mar 2024 · The art of quantum algorithm design is highly nontrivial. Grover’s search algorithm constitutes a masterpiece of quantum computational software. In this article, we use methods of geometric algebra (GA) and information geometry (IG) to enhance the algebraic efficiency and the geometrical significance of the digital and analog …
Web3 Jan 2024 · As a bonus, researchers hope holographic space-time might also point the way to scalable quantum computing, fulfilling the long-ago vision of Shor and others. “Space … table d inversion plianteWeb25 May 2024 · A quantum generalization of Natural Gradient Descent is presented as part of a general-purpose optimization framework for variational quantum circuits. The … table d3.1 shear lag factorsWebThe final part of the book is devoted to quantum entanglement - a non-intuitive phenomenon discovered by Schrödinger, which has become a key resource for quantum computation. … table d rating life insuranceWeb1 Nov 2008 · We investigate the problem of finding minimal geodesics through a desired unitary, U, and develop a procedure which allows us to deform the (known) geodesics of a … table d of epsWeb15 Feb 2012 · The metric distance turns out to be equivalent to the number of quantum gates needed to represent that unitary operator. It was then shown that finding optimal quantum circuits is essentially equivalent to finding the shortest path (geodesic) between two points in a certain curved geometry. table d\u0027extension brother cx70peWeb24 Jan 2024 · In a quantum computer, qubits are used to represent the state of the system, and entanglement is used to correlate the state of multiple qubits, enabling them to … table d\u0027agathe corbieWeb26 Feb 2024 · Trivially, I can think of "embedding" classical computation inside a quantum circuit by using the usual Toffoli gate trick of producing the inputs and the output to make it reversible. However, perhaps the geometry of classical computation is more "rigid" than the quantum world, which would be very interesting. table d of random digits