Zobrazeno 1 - 10
of 163
pro vyhledávání: '"Sawicki, Adam"'
Autor:
Dulian, Piotr, Sawicki, Adam
We study consequences of applying formalism of symplectic geometry to quantum mechanics. We propose a physical interpretation of a symplectic indicator of entanglement, introduced in [1], given by the degeneracy of the symplectic form on manifolds of
Externí odkaz:
http://arxiv.org/abs/2410.21949
Publikováno v:
Phys. Rev. Lett. 132, 030203 (2024)
Explaining the emergence of classical properties of a quantum system through its interaction with the environment has been one of the promising ideas on how to understand the notorious quantum-to-classical transition. A pivotal role in this approach
Externí odkaz:
http://arxiv.org/abs/2212.09790
Autor:
Dulian, Piotr, Sawicki, Adam
Publikováno v:
IEEE Trans. Info. Theor. 70 (2024) 4, 2637-2654
For a Haar random set $\mathcal{S}\subset U(d)$ of quantum gates we consider the uniform measure $\nu_\mathcal{S}$ whose support is given by $\mathcal{S}$. The measure $\nu_\mathcal{S}$ can be regarded as a $\delta(\nu_\mathcal{S},t)$-approximate $t$
Externí odkaz:
http://arxiv.org/abs/2210.07872
Autor:
Dulian, Piotr, Sawicki, Adam
Publikováno v:
Quantum 7, 983 (2023)
For a random set $\mathcal{S} \subset U(d)$ of quantum gates we provide bounds on the probability that $\mathcal{S}$ forms a $\delta$-approximate $t$-design. In particular we have found that for $\mathcal{S}$ drawn from an exact $t$-design the probab
Externí odkaz:
http://arxiv.org/abs/2202.05371
Autor:
Słowik, Oskar, Sawicki, Adam
Publikováno v:
Oskar S{\l}owik and Adam Sawicki 2023 J. Phys. A: Math. Theor. 56 115304
Currently available quantum computers, so called Noisy Intermediate-Scale Quantum (NISQ) devices, are characterized by relatively low number of qubits and moderate gate fidelities. In such scenario, the implementation of quantum error correction is i
Externí odkaz:
http://arxiv.org/abs/2201.11774
Publikováno v:
Phys. Rev. A 105, 052602, 2022 the title was changed to "Universality verification for a set of quantum gates"
We provide two simple universality criteria. Our first criterion states that $\mathcal{S}\subset G_d:=U(d)$ is universal if and only if $\mathcal{S}$ forms a $\delta$-approximate $t(d)$-design, where $t(2)=6$ and $t(d)=4$ for $d\geq3$. Our second uni
Externí odkaz:
http://arxiv.org/abs/2111.03862
Autor:
Mattioli, Lorenzo, Sawicki, Adam
We study the Universality and Membership Problems for gate sets consisting of a finite number of quantum gates. Our approach relies on the techniques from compact Lie groups theory. We also introduce an auxiliary problem called Subgroup Universality
Externí odkaz:
http://arxiv.org/abs/2110.04210
Publikováno v:
Quantum 5, 450 (2021)
One of the key ingredients of many LOCC protocols in quantum information is a multiparticle (locally) maximally entangled quantum state, aka a critical state, that possesses local symmetries. We show how to design critical states with arbitrarily lar
Externí odkaz:
http://arxiv.org/abs/2011.04078
Epsilon-nets and approximate unitary $t$-designs are natural notions that capture properties of unitary operations relevant for numerous applications in quantum information and quantum computing. The former constitute subsets of unitary channels that
Externí odkaz:
http://arxiv.org/abs/2007.10885
Publikováno v:
Quantum 4, 300 (2020)
Central in entanglement theory is the characterization of local transformations among pure multipartite states. As a first step towards such a characterization, one needs to identify those states which can be transformed into each other via local ope
Externí odkaz:
http://arxiv.org/abs/1912.00099