Problem
Research questions and friction points this paper is trying to address.
asynchronous quantum distributed computing
quantum snapshot
global operations
computational causality
entanglement
Asynchronous Quantum Distributed Computing: Causality, Snapshots, and Global Operations
🤖 AI Summary
This work addresses the challenge of entanglement-induced causal inconsistencies in realizing decomposable atomic global operations—such as quantum snapshots—in asynchronous quantum distributed systems. It proposes the Quantum Global Operation (QGO) algorithm, which extends the classical Chandy–Lamport snapshot protocol and, for the first time, formally adapts Lamport’s causality theory to the quantum domain, proving its validity even in the presence of quantum entanglement. The study establishes a formal model of quantum distributed computation and a unified specification for global operations applicable to both quantum and classical settings. Through rigorous causal analysis, a novel quantum snapshot mechanism, and formal modeling, the correctness of the QGO algorithm is verified, thereby providing a theoretical foundation and a practical pathway for global coordination in asynchronous quantum distributed systems.
📝 Abstract
We initiate the study of asynchronous quantum distributed systems, focusing on the case of implementing atomic quantum global operations that can be decomposed into a collection of local operations on the components of the system. A simple example of such an operation is a quantum snapshot in which the whole system is instantaneously measured. Based on the classical snapshot algorithm of Chandy and Lamport, we design a quantum distributed algorithm to implement such decomposable global operations, which we call the QGO Algorithm. The analysis of our algorithm shows that arguments based on Lamport's computational causality remain valid in the quantum world, even though, due to entanglement, causality is not manifest from the standard description of the system in terms of a (global) quantum state. Our other contributions include a formal model of quantum distributed computing, and a formal specification for the desired behavior of a global operation, which may be of interest even in classical settings (such as in the setting of randomized algorithms).
Innovation
Methods, ideas, or system contributions that make the work stand out.
asynchronous quantum distributed computing
quantum snapshot
computational causality
QGO algorithm
entanglement
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