TECH Signal 503
Quantum information spreading via higher-order operator correlators
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Illustration only Photo by Umberto on Unsplash
The paper introduces N-Operator Correlators (NOC) as a generalized method to assess quantum information spreading by extending out-of-time-order correlator concepts to multiple operators, enabling broader measurement probes and reducing limitations of traditional two-operator OTOC approaches.
Engineers designing quantum systems need precise metrics to quantify information dynamics; NOC provides a scalable framework for evaluating spreading in complex many-body systems, directly informing error correction and coherence management strategies.
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NOC generalizes OTOC to N operators, capturing broader measurement probes for quantum information spreading.
Demonstrated on analytically tractable toy systems, including a single qubit in longitudinal field and XYZ two-qubit system.
Reduces reliance on restricted two-operator OTOC analysis, offering a more comprehensive assessment of information dynamics.
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What the cluster adds up to.
The paper replaces conventional two-operator OTOC with N-Operator Correlators (NOC) to measure quantum information spreading across multiple interacting operators, addressing the limitation of restricted analysis in traditional OTOC methods.
Adopting NOC requires computational resources to calculate thermal averages of operator time evolutions for N>2 operators, increasing complexity compared to standard OTOC implementations.
NOC's framework is demonstrated only on simplified toy systems, meaning its practical applicability to real-world quantum hardware remains unproven and may face scalability challenges in larger systems.
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