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Trinidad B. Lantaño

Publications and source records attributed to Trinidad B. Lantaño.

3 recordsLinked to original sources

Robustness of spin state superpositions for noisy quantum metrology

Quantum metrology faces major challenges in noisy environments, where decoherence rapidly degrades useful quantum resources. We investigate the dynamics of the precision limits given by the quantum Fisher information (QFI) for phase estimation under spatially correlated dephasing. We characterize the dynamics of the QFI by the sensitivity and degradation indicators that can be obtained as analytical expressions derived using perturbative theory treatment. These short-time and weak-noise formulas yield analytic insight into how collective-spin moments govern both (i) the noiseless sensitivity and (ii) the leading noise-induced degradation of metrological usefulness. We identify a trade-off that is intrinsic to our commuting encoding-noise structure. We analyze the QFI dynamics for the Gaussian spin state (GSS) superpositions, encompassing spin coherent state (SCS), Dicke state superpositions, spin-squeezed states, and GHZ-like states. Predictions from indicators of the QFI dynamics are compared to both the quantum Cramér--Rao bound and the measurement-specific sensitivity bounds for an optimal parameter and interrogation time under a finite total time resource. When possible, we analytically derive the measurement-specific sensitivity bounds for spin-projection and parity-based measurements.

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Relativistic Gravity-Induced Entanglement via Frame Dragging

Gravity-induced entanglement has been proposed as a method for testing the non-classical nature of gravity via tabletop experiments. While most existing proposals are restricted to the Newtonian limit, the frame dragging effect offers access to genuinely post-Newtonian features of the gravitational interaction and remains comparatively less explored. Here, we study gravity-induced entanglement generated by frame dragging in an interferometric setting and compute the entanglement phase between the rotational degrees of freedom of a source mass and the paths of a particle in two complementary ways: (i) via Schrödinger evolution with a quantized Lense-Thirring Hamiltonian in the large angular momentum limit, and (ii) via the on-shell action of linearized quantum gravity within the stationary phase approximation. Both approaches yield the same entanglement phase, consistent with the proper time difference between the interferometer arms. The path integral derivation further reveals how gravitational retardation modifies the entanglement phase, thereby making the local, relativistically causal linearized-gravity description explicit. Under the standard locality/mediator assumptions used in existing arguments, the resulting entanglement would witness non-classicality of the gravitational interaction.

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Angular Momentum Entanglement Mediated By General Relativistic Frame Dragging

Current proposals to probe the quantum nature of gravity in the low-energy regime predominantly focus on the Newtonian interaction term. In this work, we present a theoretical exploration of gravitationally mediated entanglement arising from a genuinely general relativistic effect: frame dragging. This interaction gives rise to an effective dipolar coupling between the angular momenta of two rotating, spherically symmetric masses, allowing entanglement generation between angular momentum degrees of freedom. We represent the quantum states by angular momentum eigenstates and show that, while the maximal entangling rate is achieved for highly delocalized initial states, non-negligible quantum correlations can still emerge even when the initial states are not prepared in superposition. We then analyze the robustness of the resulting entanglement in the presence of common noise sources, explicitly acknowledging the challenges associated with a potential implementation. We also note that, for spherically symmetric masses, angular momentum degrees of freedom are intrinsically insensitive to Casimir and Coulomb interactions, thereby mitigating key decoherence channels present in existing proposals. Finally, we discuss possible state preparation and detection strategies while framing our results within the broader landscape of gravitationally mediated entanglement schemes, emphasizing the role of this framework as a conceptual avenue for exploring genuinely relativistic quantum gravitational effects.

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