Holographic deep thermalization for secure and efficient quantum random state generation.

Area of Science:

• Quantum Information Science
• Quantum Computing
• Quantum Cryptography

Background:

• Genuine random pure states are crucial for quantum physics and applications like quantum device benchmarking.
• Conventional deep thermalization methods for generating random states face scalability and security challenges.
• Attacks can compromise the security of existing quantum random state generators.

Purpose of the Study:

• To develop a secure and hardware-efficient quantum random state generator.
• To overcome the limitations of conventional deep thermalization methods.
• To enable reliable quantum advantage certification and benchmarking.

Main Methods:

• Introduction of holographic deep thermalization, a novel approach for quantum random state generation.
• Utilizing a sequence of scrambling-measure-reset processes to trade space with time.
• Implementing a circuit-based approach on IBM Quantum devices.

Main Results:

• Substantial reduction in the required ancilla size to a system-size-independent constant.
• Guaranteed security by eliminating quantum correlations between the data system and potential attackers.
• Successful generation of genuine 5-qubit random states using only 8 qubits on IBM Quantum devices.

Conclusions:

• Holographic deep thermalization offers a secure and hardware-efficient solution for quantum random state generation.
• The method significantly reduces resource overhead, making it more practical for real-world applications.
• This advancement facilitates robust quantum device benchmarking and quantum advantage certification.