Abstract

Measurement-based quantum correlations (MbQCs) depend on how strongly an observer perturbs the unobserved system. This distinctive property differentiates MbQCs from traditional quantum correlations such as entanglement and discord. We utilize MbQCs to elucidate quantum information processing capabilities in quantum computation and quantum state discrimination. We show that MbQCs exist more generally than entanglement and discord in optimal assisted quantum state discrimination and in a deterministic quantum computation with a single qubit. We also propose an MbQC-based dimension witness and analyze it in different noisy and noiseless scenarios.

Highlights

  • Quantum resources are key ingredient to ensure quantum supremacy in quantum information processing tasks

  • We study the role played by measurement-based quantum correlations (MbQCs) in RRA scheme, DQC1 protocol and dimension witness for device-independent quantum information processing (DIQIP) in an inspiration to contribute towards the resource theory of quantum information processing

  • We found that the resourceful quantum correlations for quantum information processing tasks depend on a specific observer, e.g., in left or right quantum discord and a weak observer such as super quantum discord, and on the fact that how strongly an observer can disturb the unobserved system such as in MbQCs

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Summary

Introduction

Quantum resources are key ingredient to ensure quantum supremacy in quantum information processing tasks. We study the role played by MbQCs in RRA scheme, DQC1 protocol and dimension witness for DIQIP in an inspiration to contribute towards the resource theory of quantum information processing. A quantum correlation measure for an arbitrary bipartite state ρAB was defined in[27] as

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