The geometry of quantum computation
Web24 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 … 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. …
The geometry of quantum computation
Did you know?
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 … 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 ) WebCategorical quantum mechanics is the study of quantum foundations and quantum information using paradigms from mathematics and computer science, notably monoidal …
WebA. Geometry of quantum information processing It’s well known that quantum mechanics has a rich geo-metric structure so that we believe quantum mechanics is the ultimate rule of our world. Quantum informationprocessing or quantum computation, which explores the complex structure of both quantum states and quantum state evolutions, is the Web13 Mar 2024 · Silicon carbide is among the leading quantum information material platforms due to the long spin coherence and single-photon emitting properties of its color center defects. Applications of ...
http://rintonpress.com/journals/doi/QIC8.10-1.html
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... huber plasticWebGeometric quantum computation. Daniel K L Oi. 2000, Journal of Modern Optics. We describe in detail a general strategy for implementing a conditional geometric phase … huber pku online shopWebThis paper follows up on the paper "Quantum error correction and orthogonal geometry" (below) by showing how to obtain quantum error-correcting codes from certain classical error-correcting codes over the field GF (4). We find many new quantum error-correcting codes and obtain upper and lower bounds for this type of quantum error-correcting code. huber plastic gmbhWebPreface Basic of Quantum Computation Quantum Computers Based on Exactly Solvable Models & Geometric Phases Quantum Processor Based on the Three-Level Quantum … hogwarts legacy knotgrass locationWebQuantum algebras, including quantum groups[1] and quantum geometry[2] have a long association with mathematical physics, topological quantum field theories and quantum … huber plumbing cincinnati ohioWeb30 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... huber plastic gmbh \\u0026 co. kgWeb5 Sep 2013 · By using the mathematical techniques of Riemannian geometry, we investigate the efficient quantum circuits in quantum computation with n qutrits. We show that the … huber plumbing \\u0026 heating casper wy