Prepare-and-measure scenarios with photon-number constraints
arXiv:2412.13000 · doi:10.1103/glty-kkbp
Abstract
We study correlations in the prepare-and-measure scenario when quantum communication is constrained by photon-number statistics. Such constraints are natural and practical control parameters for semi-device-independent certification in optical platforms. To analyse these scenarios, we show how semidefinite programming relaxations for non-commutative polynomial optimization can be used to bound the set of quantum correlations under restrictions on the photon-number distribution. The practicality of this method is demonstrated by computing optimal performance bounds on several well-known communication tasks. We then apply the method to the certification of semi-device-inpependent random number generation protocols and show how to bound the conditional Shannon entropy. We showcase this versatile tool by improving randomness extraction in established protocols based on coherent states and homodyne measurements.
References in corpus (54)
- A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
- Bounding the set of quantum correlations
- Device-independent tests of classical and quantum dimensions
- Semi-device-independent security of one-way quantum key distribution
- A self-testing quantum random number generator
- Simple and tight device-independent security proofs
- More Randomness from the Same Data
- Experimental estimation of the dimension of classical and quantum systems
- Convergent relaxations of polynomial optimization problems with non-commuting variables
- Dimension witnesses and quantum state discrimination
- Semi-device independent random number expansion without entanglement
- Quantum Random Access Codes using Single -level Systems
- MHz-rate semi-device-independent quantum random number generators based on unambiguous state discrimination
- Experimental Device-independent Tests of Classical and Quantum Dimensions
- Self-testing quantum states and measurements in the prepare-and-measure scenario
- Semi-device-independent framework based on natural physical assumptions
- Using complete measurement statistics for optimal device-independent randomness evaluation
- Semi-device independent random number expansion protocol with n to 1 quantum random access codes
- Self-testing mutually unbiased bases in the prepare-and-measure scenario
- Sequential random access codes and self-testing of quantum measurement instruments
- Self-testing non-projective quantum measurements in prepare-and-measure experiments
- Characterising the correlations of prepare-and-measure quantum networks
- Experimental characterisation of unsharp qubit observables and sequential measurement incompatibility via quantum random access codes
- Semi-device-independent self-testing of unsharp measurements
- Enabling computation of correlation bounds for finite-dimensional quantum systems via symmetrisation
- Semidefinite programming relaxations for quantum correlations
- Classical information storage in an -level quantum system
- Practical self-testing quantum random number generator based on an energy bound
- Semi-Device-Independent Heterodyne-based Quantum Random Number Generator
- Contextual advantages and certification for maximum confidence discrimination
- Secrecy in prepare-and-measure CHSH tests with a qubit bound
- Experimental Demonstration of Sequential Quantum Random Access Codes
- High-dimensional quantum communication complexity beyond strategies based on Bell's theorem
- Practical Semi-Device Independent Randomness Generation Based on Quantum State's Indistinguishability
- Demonstrating the power of quantum computers, certification of highly entangled measurements and scalable quantum nonlocality
- Device-independent lower bounds on the conditional von Neumann entropy
- Informationally restricted quantum correlations
- Certifying Quantum Randomness by Probability Estimation
- Informationally restricted correlations: a general framework for classical and quantum systems
- Semi-device-independent characterisation of multipartite entangled states and measurements
- Fast self-testing Quantum Random Number Generator based on homodyne detection
- Semi-device-independent framework based on restricted distrust in prepare-and-measure experiments
- Semi-device-independent certification of independent quantum state and measurement devices
- Semi-device-independent certification of entanglement in superdense coding
- A universal scheme for robust self-testing in the prepare-and-measure scenario
- Quantum Randomness Generation by Probability Estimation with Classical Side Information
- Almost qudits in the prepare-and-measure scenario
- Increased Certification of Semi-device Independent Random Numbers using Many Inputs and More Postprocessing
- Scalable entanglement certification via quantum communication
- Self-testing mutually unbiased bases in higher dimensions with space-division multiplexing optical fiber technology
- How much randomness can be generated from a quantum black-box device?
- Information capacity of quantum communication under natural physical assumptions
- Improving semi-device-independent randomness certification by entropy accumulation
- Spin-bounded correlations: rotation boxes within and beyond quantum theory
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- Semi-device-independent certification of high-dimensional quantum channels
- Sequential Semi-Device-Independent Quantum Randomness Certification