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Quantum information processing using linear optics is challenging due to the limited set of deterministic operations achievable without using complicated resource-intensive methods. While techniques such as the use of ancillary photons can…

Quantum Physics · Physics 2022-12-14 Dov Fields , Janos A. Bergou , Mark Hillery , Siddhartha Santra , Vladimir Malinovsky

Bell-state projections serve as a fundamental basis for most quantum communication and computing protocols today. However, with current Bell-state measurement schemes based on linear optics, only two of four Bell states can be identified,…

Quantum Physics · Physics 2023-09-06 Matthias J. Bayerbach , Simone E. D'Aurelio , Peter van Loock , Stefanie Barz

It is well known that an unambiguous discrimination of the four optically encoded Bell states is possible with a probability of $50\%$ at best, when using static, passive linear optics and arbitrarily many vacuum mode ancillae. By adding…

Quantum Physics · Physics 2014-10-08 Fabian Ewert , Peter van Loock

A linear optics-based scheme to implement various quantum information processing tasks is of paramount importance due to ease of implementation and low noise. Many information-theoretic tasks depend on the successful discrimination of Bell…

Quantum Physics · Physics 2024-02-02 Jatin Ghai , Sibasish Ghosh

Any quantum state of the radiation field, sliced in small non-overlapping space-time bins is a collection of single-rail qubits, each spanning the vacuum and single-photon Fock state of a mode. Quantum logic on these qubits would enable…

Quantum Physics · Physics 2026-03-18 Aqil Sajjad , Isack Padilla , Saikat Guha

We propose a framework to analyze linear optical circuits based on an analogy with stabilizer formalism in quantum circuits, which provides efficiently computable formulas related to state discriminations. Hence, we analyze a Bell-state…

Quantum Physics · Physics 2023-01-18 Tomohiro Yamazaki , Rikizo Ikuta , Takashi Yamamoto

The capability of linear optics to generate entangled states is exploited in photonic quantum information processing, however, it is challenging to obtain entangled logical qubit states. We report, to the best of our knowledge, the most…

Quantum Physics · Physics 2021-06-15 Suren A. Fldzhyan , Mikhail Yu. Saygin , Sergei P. Kulik

In a photonic realization of qubits the implementation of quantum logic is rather difficult due the extremely weak interaction on the few photon level. On the other hand, in these systems interference is available to process the quantum…

Quantum Physics · Physics 2015-06-26 John Calsamiglia , Norbert Lütkenhaus

Linear optical realizations of Bell state measurement (BSM) on two single-photon qubits succeed with probability $p_s$ no higher than $0.5$. However pre-detection quadrature squeezing, i.e., quantum noise limited phase sensitive…

Quantum Physics · Physics 2019-03-06 Thomas Kilmer , Saikat Guha

Using only linear optical elements, the creation of dual-rail photonic entangled states is inherently probabilistic. Known entanglement generation schemes have low success probabilities, requiring large-scale multiplexing to achieve…

Bell measurements, entailing the projection onto one of the Bell states, play a key role in quantum information and communication, where the outcome of a variety of protocols crucially depends on the success probability of such…

Quantum Physics · Physics 2025-06-24 Luca Bianchi , Carlo Marconi , Jan Sperling , Davide Bacco

Measurement-based heralded entanglement schemes have served as the primary link between physically separated qubits in most quantum information platforms. However, the impossibility of performing a deterministic Bell measurement with linear…

Quantum Physics · Physics 2019-12-03 Leigh S. Martin , K. Birgitta Whaley

Bell-state analysis is a considerable challenge and an essential requirement for reliable implementation of quantum communication proposals. An open question is the one for the maximal fraction of successful Bell measurements. It has been…

Quantum Physics · Physics 2015-12-04 Ling-Jun Kong , Yongnan Li , Yu Si , Rui Liu , Chenghou Tu , Hui-Tian Wang

The question of the discrimination of the Bell states of two qudits (i.e., d-dimensional quantum systems) by means of passive linear optical elements and conditional measurements is discussed. A qudit is supposed to be represented by d…

Quantum Physics · Physics 2009-11-07 Miloslav Dusek

The efficiency of a Bell-state measurement on photon pairs is bound to 50\,\% due to the number of Bell states that can be distinguished using linear optics. Here we present the implementation of a protocol that allows us to distinguish all…

We propose a quantum measurement that probabilistically projects a pair of qudits of dimension $d$ onto a Bell state in a two-qubit subspace. It can be performed using linear-optical circuits with the success probabilities of $1-d^{-1}$…

Quantum Physics · Physics 2025-10-23 Tomohiro Yamazaki , Koji Azuma

We present a novel semi-analytical methodology to construct optimal linear optical circuits for heralded production of 3-photon GHZ and 2-photon Bell states. We provide a detailed description and analysis of the resulting optical schemes,…

Quantum Physics · Physics 2020-07-08 F. V. Gubarev , I. V. Dyakonov , M. Yu. Saygin , G. I. Struchalin , S. S. Straupe , S. P. Kulik

Efficient teleportation is a crucial step for quantum computation and quantum networking. In the case of qubits, four different entangled Bell states have to be distinguished. We have realized a probabilistic, but in principle…

Quantum Physics · Physics 2009-11-10 Philip Walther , Anton Zeilinger

We analyze optimal schemes and also propose some practical schemes for the nonlocal conversion from two shared Bell pairs to four-qubit entangled states in optical quantum networks. In the analysis, we consider two-qubit operations as…

Quantum Physics · Physics 2018-05-02 Yuki Takeuchi , Nobuyuki Imoto , Toshiyuki Tashima

In the last decade Grice and Ewert and van Loock found linear optical networks achieving near-unit efficiency unambiguous Bell state discrimination, when fed with increasingly complex ancillary states. However, except for the vacuum ancilla…

Quantum Physics · Physics 2018-10-19 Andrea Olivo , Frédéric Grosshans
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