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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

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Occam's Quantum Strop: Synchronizing and Compressing Classical Cryptic Processes via a Quantum Channel.

John R Mahoney¹, Cina Aghamohammadi¹, James P Crutchfield¹

¹Complexity Sciences Center and Department of Physics, University of California at Davis, One Shields Avenue, Davis, CA 95616, USA.

Scientific Reports

|February 16, 2016

Summary

This summary is machine-generated.

We found that quantum channels significantly increase the information needed for synchronizing stochastic processes. This quantum advantage is linked to a process's cryptic order, offering new insights into causal structures and information theory.

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Area of Science:

Information theory
Quantum mechanics
Complex systems

Background:

Statistical complexity quantifies information for synchronizing process generators.
Quantum channels introduce unique challenges for information transfer and synchronization.

Purpose of the Study:

To generalize the concept of synchronization over quantum channels.
To investigate and quantify the quantum advantage in process synchronization.
To explore the relationship between causal structures and quantum advantage.

Main Methods:

Generalizing causal similarity to quantum state-indistinguishability for synchronization.
Developing constructions exploiting extended causal structures.
Analyzing the role of cryptic order and Markov order in maximum compression.

Main Results:

Demonstrated a substantial increase in quantum advantage for process synchronization over quantum channels.
Showed that maximum compression is determined by a process's cryptic order.
Introduced an efficient algorithm for computing the quantum advantage.

Conclusions:

Quantum channels offer a significant advantage for synchronizing stochastic processes.
The quantum advantage is linked to classical topological properties like cryptic order.
Achieving this advantage involves a trade-off between prediction and generation complexity.