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How to build a device that cannot be built.

Samuel J Lomonaco¹

¹University of Maryland Baltimore County (UMBC), Baltimore, MD 21250 USA.

Quantum Information Processing

|September 29, 2017

Summary

This study demonstrates a quantum computing device based on the Greenberger-Horne-Zeilinger (GHZ) paradox, impossible in classical physics. It also quantifies nonlocality and indeterminism using Boolean functions.

Keywords:

Distributed quantum algorithms GHZ paradox Quantum algorithms Quantum computation Quantum control Quantum entanglement Quantum information Quantum paradoxes

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Area of Science:

Quantum physics
Quantum computing
Foundations of quantum mechanics

Background:

The Greenberger-Horne-Zeilinger (GHZ) paradox highlights non-classical correlations.
Classical physics imposes limitations on computational devices.

Purpose of the Study:

To design a quantum computing device leveraging the GHZ paradox.
To illustrate subtleties in quantum control of distributed systems.
To quantify nonlocality and indeterminism in the GHZ paradox.

Main Methods:

Utilizing the GHZ paradox for device design.
Applying quantum physics principles for implementation.
Interpreting Boolean functions for quantification.

Main Results:

A quantum computing device design feasible in quantum physics but not classical physics.
An illustration of complex quantum control in distributed systems.
The second elementary symmetric Boolean function as a measure of nonlocality and indeterminism.

Conclusions:

Quantum mechanics enables computational devices beyond classical limits.
Quantum control of distributed systems is intricate.
Boolean functions can quantify fundamental quantum phenomena like nonlocality.