Advancements in Quantum Coding and Simulation

The field of quantum coding and simulation is rapidly advancing, with a focus on developing new codes and simulation systems that can efficiently scale and optimize costs. Recent research has led to the development of new quantum locally recoverable codes (qLRCs) with flexible dimensions, as well as the construction of near-optimal qLRCs with improved parameters. Additionally, there have been significant advancements in quantum simulation, including the introduction of novel distributed architectures and optimization frameworks that can mitigate bottlenecks and reduce costs. Notably, the development of Quantum Petri Nets with event structure semantics has established a semantically well-grounded model of quantum concurrency, bridging Petri net theory and quantum programming. Furthermore, the exploration of evolving quantum key distribution network architectures using model-based systems engineering has contributed to the systematic development of viable quantum key distribution networks. Some noteworthy papers in this area include: On optimal quantum LRCs from the Hermitian construction and $t$-designs, which presents four bounds for qLRCs and constructs several new infinite families of NMDS codes. Distributed Shared Layered Storage Quantum Simulator, which introduces a novel quantum simulation system that effectively eliminates East-West data flow and enhances scalability. QVecOpt: An Efficient Storage and Computing Optimization Framework for Large-scale Quantum State Simulation, which integrates four strategies to enhance state vector storage and computational scheduling.

Sources

The extended code for a class of generalized Roth-Lempel codes and their properties

The covering radius of Butson Hadamard codes for the homogeneous metric

On optimal quantum LRCs from the Hermitian construction and $t$-designs

Reconstruction Codes for Deletions and Insertions: Connection, Distinction, and Construction

Markov Chain-based Model of Blockchain Radio Access Networks

Quantum Petri Nets with Event Structures semantics

A Complete and Natural Rule Set for Multi-Qutrit Clifford Circuits

Distributed Shared Layered Storage Quantum Simulator: A novel quantum simulation system for efficient scaling and cost optimization

QVecOpt: An Efficient Storage and Computing Opti-mization Framework for Large-scale Quantum State Simulation

Exploration of Evolving Quantum Key Distribution Network Architecture Using Model-Based Systems Engineering

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