MDS codes with Galois hulls of arbitrary dimensions and the related entanglement-assisted quantum error correction
M Cao - IEEE Transactions on Information Theory, 2021 - ieeexplore.ieee.org
Let be a prime power and be an integer with. The-Galois hull of classical linear codes is a
generalization of the Euclidean hull and Hermitian hull. We provide a necessary and …
generalization of the Euclidean hull and Hermitian hull. We provide a necessary and …
Quantum secret sharing with qudit graph states
A Keet, B Fortescue, D Markham, BC Sanders - Physical Review A—Atomic …, 2010 - APS
We present a unified formalism for threshold quantum secret sharing using graph states of
systems with prime dimension. We construct protocols for three varieties of secret sharing …
systems with prime dimension. We construct protocols for three varieties of secret sharing …
Pair-cat codes: autonomous error-correction with low-order nonlinearity
We introduce a driven-dissipative two-mode bosonic system whose reservoir causes
simultaneous loss of two photons in each mode and whose steady states are superpositions …
simultaneous loss of two photons in each mode and whose steady states are superpositions …
Quantum LOSR networks cannot generate graph states with high fidelity
Quantum networks lead to novel notions of locality and correlations and an important
problem concerns the question of which quantum states can be experimentally prepared …
problem concerns the question of which quantum states can be experimentally prepared …
[HTML][HTML] Loss-tolerant architecture for quantum computing with quantum emitters
We develop an architecture for measurement-based quantum computing using photonic
quantum emitters. The architecture exploits spin-photon entanglement as resource states …
quantum emitters. The architecture exploits spin-photon entanglement as resource states …
Quantum capacity analysis of multi-level amplitude damping channels
S Chessa, V Giovannetti - Communications Physics, 2021 - nature.com
Evaluating capacities of quantum channels is the first purpose of quantum Shannon theory,
but in most cases the task proves to be very hard. Here, we introduce the set of Multi-level …
but in most cases the task proves to be very hard. Here, we introduce the set of Multi-level …
Absolutely maximally entangled qudit graph states
W Helwig - arXiv preprint arXiv:1306.2879, 2013 - arxiv.org
Absolutely maximally entangled (AME) states are multipartite entangled states that are
maximally entangled for any possible bipartition. In this paper, we study the description of …
maximally entangled for any possible bipartition. In this paper, we study the description of …
Encoding hypergraphs into quantum states
R Qu, J Wang, Z Li, Y Bao - Physical Review A—Atomic, Molecular, and Optical …, 2013 - APS
Ionicioiu and Spiller [Phys. Rev. A 85, 062313 (2012) PLRAAN 1050-2947
10.1103/PhysRevA. 85.062313] have recently presented an axiomatic framework for …
10.1103/PhysRevA. 85.062313] have recently presented an axiomatic framework for …
Quantum circuits for maximally entangled states
We design a series of quantum circuits that generate absolute maximally entangled (AME)
states to benchmark a quantum computer. A relation between graph states and AME states …
states to benchmark a quantum computer. A relation between graph states and AME states …
[HTML][HTML] Standard form of qudit stabilizer groups
V Gheorghiu - Physics Letters A, 2014 - Elsevier
We investigate stabilizer codes with carrier qudits of equal dimension D, an arbitrary integer
greater than 1. We prove that there is a direct relation between the dimension of a qudit …
greater than 1. We prove that there is a direct relation between the dimension of a qudit …