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Updated: Jun 22, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
Localized closed timelike curves can perfectly distinguish quantum states
Todd A Brun1, Jim Harrington, Mark M Wilde
1Communication Sciences Institute, Department of Electrical Engineering, University of Southern California, Los Angeles, California 90089, USA.
Quantum key distribution is vulnerable to adversaries using closed timelike curves. These curves allow perfect quantum state discrimination, breaking security protocols and violating the Holevo bound.
Area of Science:
- Quantum Information Science
- Quantum Computing
- Theoretical Physics
Background:
- Quantum key distribution (QKD) protocols are essential for secure communication.
- The security of QKD relies on fundamental principles of quantum mechanics.
- Closed timelike curves (CTCs) are theoretical paths in spacetime that allow for time travel.
Purpose of the Study:
- To investigate the potential impact of closed timelike curves on quantum information tasks.
- To determine if access to CTCs can be exploited as a resource in quantum information processing.
- To analyze the security implications of CTCs for quantum key distribution protocols.
Main Methods:
- Theoretical analysis of quantum information protocols in the presence of CTCs.
- Modeling the behavior of qubits traveling along closed timelike curves.
- Assessing the distinguishability of quantum states under CTC conditions.
Main Results:
- Qubits on CTCs can be used to perfectly distinguish any set of quantum states.
- An adversary with access to CTCs can compromise prepare-and-measure QKD protocols.
- Access to CTCs enables the violation of the Holevo bound, which limits information transmission.
Conclusions:
- Closed timelike curves represent a significant threat to the security of current quantum key distribution.
- The ability to perfectly distinguish quantum states using CTCs has profound implications for quantum information theory.
- Further research is needed to understand and potentially mitigate the security risks posed by CTCs.
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