We initiate the study of asynchronous quantum distributed systems, focusing on the case of implementing atomic quantum global operations that can be d... Activation: distributed systems, multi-agent, system design, systems engineering
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).
Based on the paper's approach:
# Example implementation structure
# Note: This is a template - consult the paper for specific equations
class SystemController:
def __init__(self, parameters):
self.params = parameters
self.state = None
def control_law(self, state, reference):
"""
Compute control input based on current state and reference.
Override with specific controller implementation.
"""
pass
def update(self, measurement):
"""
Update controller state with new measurement.
"""
pass
def analyze_stability(self):
"""
Analyze closed-loop stability properties.
"""
pass
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