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Updated: Mar 14, 2026

Pavlovian Conditioned Approach Training in Rats

Pavlovian Conditioned Approach Training in Rats

Published on: February 4, 2016

Grover Search and the No-Signaling Principle.

Ning Bao¹, Adam Bouland², Stephen P Jordan³

¹Institute for Quantum Information and Matter and Walter Burke Institute for Theoretical Physics, California Institute of Technology 452-48, Pasadena, California 91125, USA.

Physical Review Letters

|October 1, 2016

Summary

This summary is machine-generated.

Quantum physics

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Area of Science:

Quantum Physics
Theoretical Computer Science
Information Theory

Background:

Quantum mechanics has two key properties: the no-signaling principle (no faster-than-light communication) and the Grover search lower bound (no efficient brute-force solution for NP-complete problems).
Understanding the relationship between these fundamental principles is crucial for advancing quantum information science.

Purpose of the Study:

To investigate the connection between the no-signaling principle and the Grover search lower bound.
To explore how deviations from quantum mechanics impact these two properties.

Main Methods:

Examined four classes of theoretical models deviating from standard quantum mechanics.
Drew inspiration from research on the black hole information paradox.
Analyzed the scaling of resources required for superluminal signaling versus Grover's algorithm speedup.

Main Results:

In the analyzed models, the resources for superluminal signaling scale polynomially with those needed for Grover's algorithm speedup.
Demonstrated a direct relationship between the strength of correlations and computational complexity.

Conclusions:

The no-signaling principle is shown to be equivalent to the inability to efficiently solve NP-hard problems via brute force within the studied theoretical frameworks.
This equivalence provides new insights into the fundamental limits of quantum computation and information transfer.