Journal of Optics, Journal Year: 2023, Volume and Issue: unknown
Published: Nov. 21, 2023
Language: Английский
Optica, Journal Year: 2023, Volume and Issue: 10(12), P. 1723 - 1723
Published: Oct. 30, 2023
Semi-device-independent (SDI) methods offer a credible way to calibrate preparation and measurement devices simultaneously in quantum information processing, using only prior knowledge such as the Hilbert space dimension. To date, SDI method is restricted few state paradigms, which impedes its broader applications. Recently, Tavakoli [ Phys. Rev. Lett. 125 , 150503 ( 2020 ) PRLTAO 0031-9007 10.1103/PhysRevLett.125.150503 ] proposed an scheme certify t -designs with discrete symmetric structures. In this work, we bridge gap between continuous structures concept termed “covering angle,” while maintaining feature. This enables us evaluate device’s ability generate arbitrary states via calibrating certain -design. so-called full calibration further tailored be tolerant of errors realistic production. We demonstrate for qubit system various show that it renders certificates key distribution, random number generation, magic distillability.
Language: Английский
Citations
2
Physical review. A/Physical review, A, Journal Year: 2024, Volume and Issue: 110(4)
Published: Oct. 7, 2024
The Bell-state measurement (BSM) is the projection of two qubits onto four orthogonal maximally entangled states. Here we first propose how to appropriately define more general BSMs, which have than possible outcomes, and then study whether they exist in quantum theory. We observe that nonprojective BSMs can be defined a systematic way terms equiangular tight frames states, i.e., set where every pair equally, sense maximally, distinguishable. show there exists five-outcome BSM through an explicit construction find it admits simple geometric representation. Then prove no larger on by showing six-outcome possible. also determine most distinguishable six states falls only somewhat short forming valid measurement. Finally, contexts both local state discrimination entanglement-assisted communication. Our results put forward natural forms joint measurements provide insight into geometry Published American Physical Society 2024
Language: Английский
Citations
0
arXiv (Cornell University), Journal Year: 2023, Volume and Issue: unknown
Published: Jan. 1, 2023
We present an analytical method to estimate pure quantum states using a minimum of three measurement bases in any finite-dimensional Hilbert space. This is optimal as two are insufficient construct informationally complete positive operator-valued (IC-POVM) for states. demonstrate our binary tree structure, providing algorithmic path implementation. The performance the evaluated through numerical simulations, showcasing its effectiveness state estimation.
Language: Английский
Citations
0
Micromachines, Journal Year: 2023, Volume and Issue: 14(6), P. 1207 - 1207
Published: June 7, 2023
Considering pure quantum states, entanglement concentration is the procedure where, from N copies of a partially entangled state, single state with higher can be obtained. Obtaining maximally possible for N=1. However, associated success probability extremely low when increasing system's dimensionality. In this work, we study two methods to achieve probabilistic bipartite systems large dimensionality N=1, regarding reasonably good at expense having non-maximal entanglement. Firstly, define an efficiency function Q considering tradeoff between amount (quantified by I-Concurrence) final after and its probability, which leads solving quadratic optimization problem. We found analytical solution, ensuring that optimal scheme always in terms Q. Finally, second method was explored, based on fixing searching maximum attainable. Both ways resemble Procrustean applied subset most significant Schmidt coefficients but obtaining non-maximally states.
Language: Английский
Citations
0
arXiv (Cornell University), Journal Year: 2023, Volume and Issue: unknown
Published: Jan. 1, 2023
With the advent of quantum technology, interest in communication tasks assisted by systems has increased both academia and industry. Nonetheless, transmission a state real-world scenarios is bounded environmental noise, so that channel an open system. In this work, we study high-dimensional system multicore optical fiber characterizing interaction as operations corresponding to probabilistic phase-flips. The experimental platform currently state-of-the-art for information processing with fibers. At given evolution stage observe non-Markovian behaviour system, which demonstrated through proof-of-principle implementation Quantum Vault protocol. A better understanding phase-noise fibers will improve several protocols, since they are prime candidate be adopted future telecom networks.
Language: Английский
Citations
0
arXiv (Cornell University), Journal Year: 2023, Volume and Issue: unknown
Published: Jan. 1, 2023
We study quantum steering experiments without assuming that the trusted party can perfectly control their measurement device. Instead, we introduce a scenario in which these measurements are subject to small imprecision. show imprecision have large detrimental influence terms of false positives for inequalities, and this effect become even more relevant high-dimensional systems. then method taking generic into account tests bipartite inequalities. The revised bounds returned by analytical, easily computable, optimal well-known families arbitrary-dimensional tests. Furthermore, it applies equally well generalised scenarios, where shared state does not need be separable, but is instead limited some other entanglement property.
Language: Английский
Citations
0
Journal of Optics, Journal Year: 2023, Volume and Issue: unknown
Published: Nov. 21, 2023
Language: Английский
Citations
0