Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation
Z Jia - arXiv preprint arXiv:2405.09277, 2024 - arxiv.org
Cluster states are crucial resources for measurement-based quantum computation (MBQC).
It exhibits symmetry-protected topological (SPT) order, thus also playing a crucial role in …
It exhibits symmetry-protected topological (SPT) order, thus also playing a crucial role in …
Efficient verification of continuous-variable quantum states and devices without assuming identical and independent operations
Continuous-variable quantum information, encoded into infinite-dimensional quantum
systems, is a promising platform for the realization of many quantum information protocols …
systems, is a promising platform for the realization of many quantum information protocols …
Qudit states in noisy quantum channels
In this work, we analyze a number of noisy quantum channels on a family of qudit states. The
channels studied are the dit-flip noise, phase flip noise, dit-phase flip noise, depolarizing …
channels studied are the dit-flip noise, phase flip noise, dit-phase flip noise, depolarizing …
[HTML][HTML] Schrödinger cat states in continuous variable non-Gaussian networks
IV Sokolov - Physics Letters A, 2020 - Elsevier
We show how continuous variable network with embedded non-Gaussian element can
effectively prepare Schrödinger cat state using cubic phase state as elementary non …
effectively prepare Schrödinger cat state using cubic phase state as elementary non …
Graphical Calculus for Non-Gaussian Quantum States
We provide a graphical method to describe and analyze non-Gaussian quantum states
using a hypergraph framework. These states are pivotal resources for quantum computing …
using a hypergraph framework. These states are pivotal resources for quantum computing …
A boolean functions theoretic approach to quantum hypergraph states and entanglement
S Dutta - arXiv preprint arXiv:1811.00308, 2018 - arxiv.org
The hypergraph states are pure multipartite quantum states corresponding to a hypergraph.
It is an equal superposition of the states belonging to the computational basis. Given any …
It is an equal superposition of the states belonging to the computational basis. Given any …
[PDF][PDF] Quantum states associated to mixed graphs and their algebraic characterization.
Graph states are present in quantum information and found applications ranging from
quantum network protocols (like secret sharing) to measurement based quantum computing …
quantum network protocols (like secret sharing) to measurement based quantum computing …
Schr\" odinger cat state preparation by non-Gaussian continuous variable gate
IV Sokolov - arXiv preprint arXiv:2004.05642, 2020 - arxiv.org
We propose a non-Gaussian continuous variable (CV) gate which is able to conditionally
produce superposition of two" copies" of an arbitrary input state well separated in the …
produce superposition of two" copies" of an arbitrary input state well separated in the …