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New N-Operator Correlator (NOC) formulated for measuring quantum information spreading
Key points
- N-Operator Correlators (NOC) introduced.
- NOC generalizes Out-of-Time-Ordered Correlators (OTOC).
- Allows more measurement probes for quantum information spreading.
- Demonstrated with single qubit and XYZ two-qubit systems.
Introduction of N-Operator Correlators
A new method for measuring quantum information spreading, called N-Operator Correlators (NOC), has been formulated. This approach builds upon the concept of N-point correlation functions used in cosmology.
Generalizing Out-of-Time-Ordered Correlators
NOCs are a generalized form of the Out-of-Time-Ordered Correlator (OTOC). The primary benefit of this generalization is its ability to reduce the limitations associated with analyzing only two operators, as is common in standard OTOCs. By allowing for a larger set of measurement probes, NOCs can provide a more comprehensive assessment of quantum information spreading.
Demonstration and Application
The concepts behind NOCs were demonstrated using two analytically tractable toy systems: a single qubit in a longitudinal field and an XYZ two-qubit system. These demonstrations involved computing thermal averages of operator time evolutions at a finite temperature. This work provides a foundational introduction to generalized operator correlators within quantum mechanics.
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Primary sources
arXiv 2609.05472Reporting from
Researchers introduced N-Operator Correlators (NOC) as a generalized Out-of-Time-Ordered Correlator (OTOC) to measure quantum information spreading. This formulation allows for a broader analysis by incorporating more measurement probes than the two operators used in traditional OTOCs. The development offers a new method for analyzing quantum information dynamics in systems.