The geometry of quantum computation
Web1 Jan 2010 · This paper investigates many of the basic geometric objects associated to this space, including the Levi-Civita connection, the geodesic equation, the curvature, and the … Web4 Apr 2000 · Thus quantum geometrical phases can form the basis of any quantum computation. Moreover, as the induced conditional phase depends only on the geometry of the paths executed by the spins it is resilient to certain types of errors and offers the potential of a naturally fault-tolerant way of performing quantum computation.
The geometry of quantum computation
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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... Web10 Apr 2024 · Figure 1: Illustration of a qubit in a silicon quantum dot. Optimizing the size, shape and geometry of a quantum dot leads to longer-lived hole spins. (Image: Tony Melov) But electron and hole spins only maintain their quantum state for a limited time. Disruption, or noise, from the spin’s environment can alter the spin state.
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 … Web1 Jan 2013 · Determining the quantum circuit complexity of a unitary operation is an important problem in quantum computation. By using the mathematical techniques of …
Web10 Feb 2014 · The circuit complexity of quantum qubit system evolution as a primitive problem in quantum computation has been discussed widely. We investigate this problem … Web1 Dec 2007 · Quantum computation and quantum information - Volume 17 Issue 6. ... The paper by R. Mosseri and P. Ribeiro presents a detailed description of the two- and three …
Web11 May 2024 · We show that it is possible that the bi- invariant complexity geometry can exhibit the conjectured time evolution of the complexity in chaotic systems: i) linear growth until t ∼ eN , ii) saturation and small fluctuations after then. We also show that the Lloyd’s bound is realized in this model.
WebWhat is the use of Categorical quantum mechanics?) Differential geometry (for quantum information theorists working on quantum gravity) Formal Language Theory (in studying QC as a computation model) Amazingly, I've even seen fractional calculus come up for sub-Ohmic baths (s=1/2 in this ) green bay packers schedule print 2022Web1 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 … green bay packers schedule resultsWebIntroduction to Quantum Computing for High School Students 2024-2024. Partnered with IBM Quantum and taught by MIT and Oxford quantum researchers, Qubit by Qubit led the … green bay packers score kcWeb30 Oct 2024 · In this paper we draw a geometric picture of the deep learning system by finding its analogies with two existing geometric structures, the geometry of quantum computations and the geometry of... flower shops in jamaica queens nyWeb1 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. … green bay packers scoreboard liveWeb4 Nov 2009 · In our approach quantum phenomena define the geometry of the parameters of the probability distribution that include also the space time parameters. To study this new approach to the computation we use the new theory of Morphogenic systems. Submission history From: Ignazio Licata [ view email ] [v1] Wed, 4 Nov 2009 14:57:47 UTC (273 KB) … flower shops in irvine kyhttp://rintonpress.com/journals/doi/QIC8.10-1.html green bay packers scores by quarter