Exact emergent quantum state designs from quantum chaotic dynamics
We present exact results on a novel kind of emergent random matrix universality that
quantum many-body systems at infinite temperature can exhibit. Specifically, we consider an …
quantum many-body systems at infinite temperature can exhibit. Specifically, we consider an …
Clifford group and unitary designs under symmetry
Y Mitsuhashi, N Yoshioka - PRX Quantum, 2023 - APS
We have generalized the well-known statement that the Clifford group is a unitary 3-design
into symmetric cases by extending the notion of unitary design. Concretely, we have proven …
into symmetric cases by extending the notion of unitary design. Concretely, we have proven …
Quantum Codes from Twisted Unitary -Groups
E Kubischta, I Teixeira - Physical Review Letters, 2024 - APS
We introduce twisted unitary t-groups, a generalization of unitary t-groups under a twisting
by an irreducible representation. We then apply representation theoretic methods to the Knill …
by an irreducible representation. We then apply representation theoretic methods to the Knill …
Universally robust quantum control
We study the robustness of the evolution of a quantum system against small uncontrolled
variations in parameters in the Hamiltonian. We show that the fidelity susceptibility, which …
variations in parameters in the Hamiltonian. We show that the fidelity susceptibility, which …
Exploring finite temperature properties of materials with quantum computers
Thermal properties of nanomaterials are crucial to not only improving our fundamental
understanding of condensed matter systems, but also to developing novel materials for …
understanding of condensed matter systems, but also to developing novel materials for …
The mixed Schur transform: efficient quantum circuit and applications
QT Nguyen - arXiv preprint arXiv:2310.01613, 2023 - arxiv.org
The Schur transform, which block-diagonalizes the tensor representation $ U^{\otimes n} $
of the unitary group $\mathbf {U} _d $ on $ n $ qudits, is an important primitive in quantum …
of the unitary group $\mathbf {U} _d $ on $ n $ qudits, is an important primitive in quantum …
Sparse random Hamiltonians are quantumly easy
A candidate application for quantum computers is to simulate the low-temperature properties
of quantum systems. For this task, there is a well-studied quantum algorithm that performs …
of quantum systems. For this task, there is a well-studied quantum algorithm that performs …
Calculating the many-body density of states on a digital quantum computer
Quantum statistical mechanics allows us to extract thermodynamic information from a
microscopic description of a many-body system. A key step is the calculation of the density of …
microscopic description of a many-body system. A key step is the calculation of the density of …
Random Real Valued and Complex Valued States Cannot be Efficiently Distinguished
L Schatzki - arXiv preprint arXiv:2410.17213, 2024 - arxiv.org
In this short note we show that the ensemble $\{O\vert 0\rangle\langle 0\vert O^\top\\vert\O\in\
mathbb {O (d)}\} $, where $ O $ is drawn from the Haar measure on $\mathbb {O}(d) …
mathbb {O (d)}\} $, where $ O $ is drawn from the Haar measure on $\mathbb {O}(d) …
A model of quantum gravity on a noisy quantum computer
M Asaduzzaman, RG Jha, B Sambasivam - arXiv preprint arXiv …, 2023 - arxiv.org
We study the Sachdev-Ye-Kitaev (SYK) model--an important toy model for quantum gravity
on IBM's superconducting qubit quantum computers. By using a graph-coloring algorithm to …
on IBM's superconducting qubit quantum computers. By using a graph-coloring algorithm to …