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pro vyhledávání: '"Laborde, A L"'
In quantum computing, knowing the symmetries a given system or state obeys or disobeys is often useful. For example, Hamiltonian symmetries may limit allowed state transitions or simplify learning parameters in machine learning applications, and cert
Externí odkaz:
http://arxiv.org/abs/2407.17563
Publikováno v:
Phys. Rev. A 110, 052401 (2024)
A pure state of fixed Hamming weight is a superposition of computational basis states such that each bitstring in the superposition has the same number of ones. Given a Hilbert space of the form $\mathcal{H} = (\mathbb{C}_2)^{\otimes n}$, or an $n$-q
Externí odkaz:
http://arxiv.org/abs/2404.07151
The widely popular transformer network popularized by the generative pre-trained transformer (GPT) has a large field of applicability, including predicting text and images, classification, and even predicting solutions to the dynamics of physical sys
Externí odkaz:
http://arxiv.org/abs/2403.14753
Testing the symmetries of quantum states and channels provides a way to assess their usefulness for different physical, computational, and communication tasks. Here, we establish several complexity-theoretic results that classify the difficulty of sy
Externí odkaz:
http://arxiv.org/abs/2309.10081
We assign an arbitrary density matrix to a weighted graph and associate to it a graph zeta function that is both a generalization of the Ihara zeta function and a special case of the edge zeta function. We show that a recently developed bipartite pur
Externí odkaz:
http://arxiv.org/abs/2307.03321
Autor:
LaBorde, Margarite L.
This thesis aims to establish notions of symmetry for quantum states and channels as well as describe algorithms to test for these properties on quantum computers. Ideally, the work will serve as a self-contained overview of the subject. We begin by
Externí odkaz:
http://arxiv.org/abs/2305.14560
Publikováno v:
Proceedings of the Royal Society A, vol. 479, no. 2274, page 20220733 June 2023
The mixedness of one share of a pure bipartite state determines whether the overall state is a separable, unentangled state. Here we consider quantum computational tests of mixedness, and we derive an exact expression of the acceptance probability of
Externí odkaz:
http://arxiv.org/abs/2208.14596
Autor:
LaBorde, Margarite L., Wilde, Mark M.
Publikováno v:
Physical Review Letters, vol. 129, no. 16, page 160503, October 2022
Symmetries in a Hamiltonian play an important role in quantum physics because they correspond directly with conserved quantities of the related system. In this paper, we propose quantum algorithms capable of testing whether a Hamiltonian exhibits sym
Externí odkaz:
http://arxiv.org/abs/2203.10017
Publikováno v:
Quantum 7, 1120 (2023)
Symmetry is a unifying concept in physics. In quantum information and beyond, it is known that quantum states possessing symmetry are not useful for certain information-processing tasks. For example, states that commute with a Hamiltonian realizing a
Externí odkaz:
http://arxiv.org/abs/2105.12758
Publikováno v:
Quantum Information Processing volume 19, article no. 230, July 2020
Current implementations of quantum logic gates can be highly faulty and introduce errors. In order to correct these errors, it is necessary to first identify the faulty gates. We demonstrate a procedure to diagnose where gate faults occur in a circui
Externí odkaz:
http://arxiv.org/abs/2001.10939