Skip to content
Preprint

Distinct Feedback-Strength Requirements for Quantum-State Ensemble Preparation under Channel-Equivalent Monitoring

Sep 2026 · 0 citations · 37 references
Physics

Abstract

Different measurements of the same environment can preserve the average quantum channel yet change the feedback strength needed to prepare a state ensemble. We establish this distinction for a multiqubit register under complete Pauli monitoring, targeting the uniform ensemble of real-amplitude pure states. With unit detection efficiency, public records, and bounded Hamiltonian feedback, fixed transverse noise requires a minimum peak strength proportional to $\epsilon^{-1}$ at distributional error $\epsilon$. Tangent noise instead admits a construction requiring only $O[\sqrt{\log(1/\epsilon)}]$. At fixed preparation time, we determine the optimum over all allowed feedback policies and derive a geometric lower bound beyond radial symmetry. The separation identifies the measurement realization as part of the control-resource specification for monitored ensemble preparation.

View source

Similar papers

Preprint Aug 2026

Exact Fock-State Preparation with $n^{1/4}$ Circuit Depth

Efficient, deterministic, and high-fidelity preparation of large Fock states is essential for scaling bosonic quantum technologies and exploring quantum phenomena at large excitation energies. We introduce a deterministic one-parameter (D1p) protocol that maps Fock-state preparation in an infinite-dimensional Hilbert s...

Tanay Roy · 1 citation
Preprint Sep 2026

Ultimate Information Rate for Quantum Sensing under Multilevel Relaxation

We determine the ultimate information rate of a relaxing multilevel quantum sensor under unrestricted adaptive control and construct an explicit strategy that attains it. We consider sensing a weak field that couples the ground state to several excited states that decay back to the ground state, a setting that reduces...

Changhun Oh, Seok Hyung Lie, Youngrong Lim · 0 citations
Preprint Sep 2026

Single-shot state preparation threshold: rigorous theorem and statistical mechanical mapping

Preparing logical codewords with a single round of noisy syndrome measurements can reduce the time overhead of fault-tolerant quantum computation. It remains unclear which structural properties of the code suffice to guarantee a threshold for single-shot state preparation. Here we prove that linear confinement suffices...

Yuan-Yuan Zhao, Yi-Zheng Yuan, Zhen Han et al. · 0 citations
#machine learning Preprint Sep 2026

Terminal-Register Certification for Finite-Measurement Learning of Multiscale Quantum States

It is confirmed that an ideal sequential and terminal measurement schedule delivers the same complete bit string distribution under matched causal operations, while normalized postselection can amplify perturbations inversely with prefix acceptance.

Bhvain Makwana, Kashyap Patel, Manjunath Joshi et al. · 0 citations
Conference Sep 2026

A Diagnostic Framework for Quantum Noise Channels in Single-Qubit Cyber-Physical Systems

Single-qubit channels provide a controlled setting for comparing how different noise mechanisms change a quantum state. Using density matrices and Kraus operators, this paper compares bit-flip, phase-flip, depolarising, amplitudedamping, and phase-damping channels under the same set of input states and diagnostic metri...

Polina Kravchenko, Y. Darnapuk, G. Chuiko · 0 citations
Preprint Oct 2026

Phase-controlled recoverable entanglement in accelerated detector registers

We study recoverable entanglement in a four-qubit cluster-state register whose two detector qubits couple to a scalar field. A local preparation phase leaves the initial reference--register entanglement and detector marginal unchanged, but controls protection under collective noise. At the optimal phase, a fixed decode...

Zhi-Ming Huang · 0 citations

We use cookies to run the site and, with your consent, for analytics and to show ads. See our Cookie Policy.