Single-Copies Estimation of Entanglement Negativity

Area of Science:

• Quantum Information Science
• Quantum Physics
• Quantum Computing

Background:

• Quantum entanglement is crucial for quantum information processing and fundamental quantum physics.
• Quantifying entanglement in unknown quantum states remains a significant challenge.
• Existing methods often require multiple copies of a quantum state for collective measurements.

Purpose of the Study:

• To propose a practical scheme for estimating entanglement negativity in any bipartition of a composite quantum system.
• To generalize the scheme for quantifying total correlations in quantum states.
• To provide a tool for benchmarking quantum platforms and studying quantum dynamics.

Main Methods:

• The proposed scheme utilizes random unitary evolution applied to a single quantum state.
• Local measurements are performed on the evolved single-copy quantum state.
• Statistical analyses and numerical simulations are employed to demonstrate the scheme's efficiency.

Main Results:

• The scheme provides an effective method for estimating entanglement negativity for unknown quantum states.
• It is more practical than previous methods as it requires only a single copy of the quantum state.
• The method is generalized to quantify total correlations, offering broader applicability.

Conclusions:

• The developed scheme offers a practical and efficient approach to quantify quantum entanglement and correlations.
• It is well-suited for current quantum computing platforms, serving as a valuable benchmarking tool.
• The scheme facilitates advancements in quantum technologies and the study of fundamental quantum phenomena like entanglement dynamics.