Efficient utilization of imaginarity in quantum steering

• URL: http://arxiv.org/abs/2508.17140v1
• Date: Sat, 23 Aug 2025 20:44:07 GMT
• Title: Efficient utilization of imaginarity in quantum steering
• Authors: Shounak Datta, A. S. Majumdar,
• Abstract summary: We illustrate the role of complex numbers in quantum information processing through the phenomenon of quantum steering.<n>We formulate a steering criterion for bipartite qubit systems, which requires two dichotomic measurements at the untrusted side and two mutually unbiased bases at the trusted side.<n>We show that quantum correlations embodied through our proposed imaginarity steering inequality can be witnessed by suitably constructed Hermitian operators.
• Score: 0.9238700679836854
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We illustrate the role of complex numbers in quantum information processing through the phenomenon of quantum steering. Exploiting partial knowledge of a qubit in terms of imaginarity, we formulate a steering criterion for bipartite qubit systems, which requires two dichotomic measurements at the untrusted side and two mutually unbiased bases at the trusted side. We show that quantum correlations embodied through our proposed imaginarity steering inequality can be witnessed by suitably constructed Hermitian operators that depend on fewer state parameters and require measurement of a lesser number of observables than for witnessing other forms of quantum nonlocal correlations. The monogamy of such correlations is also demonstrated. We further underscore the steering of imaginarity as an efficient nonlocal resource in the presence of white noise and under unhsarp measurements, showing the robustness of imaginarity steering compared to certain other steering criteria.

Related papers

• Error exponents of quantum state discrimination with composite correlated hypotheses [40.82628972269358]
  We study the error exponents in quantum hypothesis testing between two sets of quantum states.<n>We introduce and compare two natural extensions of the quantum Hoeffding divergence and anti-divergence to sets of quantum states.
  arXiv  Detail & Related papers  (2025-08-18T13:04:06Z)
• Theory of the correlated quantum Zeno effect in a monitored qubit dimer [41.94295877935867]
  We show how the competition between two measurement processes give rise to two distinct Quantum Zeno (QZ) regimes.<n>We develop a theory based on a Gutzwiller ansatz for the wavefunction that is able to capture the structure of the Hilbert phase diagram.<n>We show how the two QZ regimes are intimately connected to the topology of the flow of the underlying non-Hermitian Hamiltonian governing the no-click evolution.
  arXiv  Detail & Related papers  (2025-03-28T19:44:48Z)
• Experimental Test of Nonlocality Limits from Relativistic Independence [0.0]
  We show the existence of a fundamental limit on the extent of quantum correlations.<n>Our results shed light on the profound role of uncertainty in both enabling and balancing them.
  arXiv  Detail & Related papers  (2025-01-10T23:29:00Z)
• Precision bounds for multiple currents in open quantum systems [37.69303106863453]
  We derivation quantum TURs and KURs for multiple observables in open quantum systems undergoing Markovian dynamics.<n>Our bounds are tighter than previously derived quantum TURs and KURs for single observables.<n>We also find an intriguing quantum signature of correlations captured by the off-diagonal element of the Fisher information matrix.
  arXiv  Detail & Related papers  (2024-11-13T23:38:24Z)
• Operational simultaneous correlations in complementary bases of bipartite states via one-sided semi-device-independent steering [0.0]
  We show that for any bipartite state, such measure of simultaneous correlations in two mutually unbiased bases can be operationally identified as exhibiting one-sided semi-device-independent steering.<n>For two-qubit Bell-diagonal states, quantifying one-sided semi-device-independent steerability provides an operational quantification of information-theoretic quantification of simultaneous correlations in mutually unbiased bases.<n>We invoke quantum steering ellipsoid formalism to shed intuitions on the operational characterization of simultaneous correlations in complementary bases of two-qubit states via one-sided semi-device-independent steerability.
  arXiv  Detail & Related papers  (2024-07-16T14:17:59Z)
• Unveiling quantum steering by quantum-classical uncertainty complementarity [0.0]
  We introduce a novel complementarity relation between system's quantum and classical uncertainties.<n>We show that the proposed complementarity relation is tighter than the entropic uncertainty relation.<n>We experimentally validate such a property through a photonic system.
  arXiv  Detail & Related papers  (2023-12-02T07:49:20Z)
• Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain [43.80709028066351]
  Local quantum measurements do not simply disentangle degrees of freedom, but may actually strengthen the entanglement in the system.<n>This paper explores how a finite density of local measurement modifies a given state's entanglement structure.
  arXiv  Detail & Related papers  (2023-10-04T09:51:00Z)
• Improved Quantum Algorithms for Fidelity Estimation [77.34726150561087]
  We develop new and efficient quantum algorithms for fidelity estimation with provable performance guarantees. Our algorithms use advanced quantum linear algebra techniques, such as the quantum singular value transformation. We prove that fidelity estimation to any non-trivial constant additive accuracy is hard in general.
  arXiv  Detail & Related papers  (2022-03-30T02:02:16Z)
• Experimental violations of Leggett-Garg's inequalities on a quantum computer [77.34726150561087]
  We experimentally observe the violations of Leggett-Garg-Bell's inequalities on single and multi-qubit systems. Our analysis highlights the limits of nowadays quantum platforms, showing that the above-mentioned correlation functions deviate from theoretical prediction as the number of qubits and the depth of the circuit grow.
  arXiv  Detail & Related papers  (2021-09-06T14:35:15Z)
• Enhancing nonclassical bosonic correlations in a Quantum Walk network through experimental control of disorder [50.591267188664666]
  We experimentally realize a controllable inhomogenous Quantum Walk dynamics. We observe two photon states which exhibit an enhancement in the quantum correlations between two modes of the network.
  arXiv  Detail & Related papers  (2021-02-09T10:57:00Z)
• Computable steering criterion for bipartite quantum systems [8.812233192854949]
  Quantum steering describes the ability of one observer to nonlocally affect the other observer's state through local measurements. We propose a computable steering criterion that is applicable to bipartite quantum systems of arbitrary dimensions.
  arXiv  Detail & Related papers  (2020-10-02T03:58:28Z)
• Metrological complementarity reveals the Einstein-Podolsky-Rosen paradox [0.0]
  The Einstein-Podolsky-Rosen paradox plays a fundamental role in our understanding of quantum mechanics. It is associated with the possibility of predicting the results of non-commuting measurements with a precision that seems to violate the uncertainty principle. This apparent contradiction to complementarity is made possible by nonclassical correlations stronger than entanglement, called steering.
  arXiv  Detail & Related papers  (2020-09-17T17:46:44Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.