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This research establishes new theoretical bounds on the communication resources required to verify unknown quantum states across distributed networks, significantly improving efficiency through the use of shared randomness. By defining and optimizing "copy complexity," the study provides a fundamental limit for networked quantum technologies that enables complex computations without requiring all data to be centralized. These findings are critical for advancing practical multi-node quantum systems where communication bandwidth is constrained.

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Researchers Bound Data Needed for Secure Quantum Verification

Quantum Zeitgeist7 octombrie 20264 min de cititArticolul și perspectiva sunt în engleză.

Can multiple parties verify a quantum state’s identity using fewer than one million qubits? New bounds establish copy complexity at Θ((d²)/(2^(n_(q)) 2^(n_(c)/2)ε²)) when shared randomness exists, a result previously unattainable under strict communication limits. This demonstrates near-optimality in certifying an unknown quantum state, differing from private-coin settings by only √log d.

A new framework exists for performing complex computations across multiple nodes with limited communication capabilities. It enables distributed quantum inference, inferring properties of a quantum state held separately at several locations, overcoming limitations inherent in prior centralised approaches which required all copies of data to be accessible in one place. This framework also provides a method for verifying unknown quantum states across multiple devices with restricted direct communication and defines ‘copy complexity’, quantifying how much information…

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