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Related papers: Optimal logical Bell measurements on stabilizer co…

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We show how the efficiency of a logical Bell measurement (BM) can be calculated for arbitrary CSS codes with the experimentally important constraint of using only transversal static linear-optical BMs on the physical single-photon qubit…

Quantum Physics · Physics 2019-06-19 Frank Schmidt , Peter van Loock

Quantum threshold theorems impose hard limits on the hardware capabilities to process quantum information. We derive tight and fundamental upper bounds to loss-tolerance thresholds in different linear-optical quantum information processing…

Quantum Physics · Physics 2023-05-23 Paul Hilaire , Yaron Castor , Edwin Barnes , Sophia E. Economou , Frédéric Grosshans

We address the task of verifying whether a quantum computer, designed to be protected by a specific stabilizer code, correctly encodes the corresponding logical qubits. To achieve this, we develop a general framework for subspace…

Quantum Physics · Physics 2024-12-10 Congcong Zheng , Xutao Yu , Zaichen Zhang , Ping Xu , Kun Wang

We propose a projection measurement onto encoded Bell states with a static network of linear optical elements. By increasing the size of the quantum error correction code, both Bell measurement efficiency and photon-loss tolerance can be…

Quantum Physics · Physics 2016-11-23 Fabian Ewert , Marcel Bergmann , Peter van Loock

Major obstacles against efficient long distance quantum communication are photon losses during transmission and the probabilistic nature of Bell measurement causing exponential scaling in time and resource with distance. To overcome these…

Quantum Physics · Physics 2019-11-05 Seung-Woo Lee , Timothy C. Ralph , Hyunseok Jeong

Several emerging quantum technologies, including quantum networks, modular and fusion-based quantum computing, rely crucially on the ability to perform photonic Bell state measurements. Therefore, photon losses and the 50\% success…

Quantum Physics · Physics 2021-12-08 Paul Hilaire , Edwin Barnes , Sophia E. Economou , Frédéric Grosshans

We present a detailed analysis of the Bell measurement scheme proposed in [Phys. Rev. Lett. 114, 113603 (2015)] based on a logical qubit using Greenberger-Horne-Zeilinger (GHZ) entanglement of photons. The success probability of the…

Quantum Physics · Physics 2015-12-02 Seung-Woo Lee , Kimin Park , Timothy C. Ralph , Hyunseok Jeong

We present an in-depth analysis regarding the error resistance and optimization of our all-optical Bell measurement and ultrafast long-distance quantum communication scheme proposed in [arXiv:1503.06777]. In order to promote our previous…

Quantum Physics · Physics 2017-02-01 Fabian Ewert , Peter van Loock

The coherent-state qubit is a promising candidate for optical quantum information processing due to its nearly-deterministic nature of the Bell-state measurement (BSM). However, its non-orthogonality incurs difficulties such as failure of…

Quantum Physics · Physics 2021-12-23 Seok-Hyung Lee , Seung-Woo Lee , Hyunseok Jeong

Although qubit coherence times and gate fidelities are continuously improving, logical encoding is essential to achieve fault tolerance in quantum computing. In most encoding schemes, correcting or tracking errors throughout the computation…

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

Bell state measurements, which project bipartite qubit systems onto the maximally entangled Bell basis, are central to a wide range of quantum information processing tasks, including quantum teleportation, entanglement swapping, and…

Quantum Physics · Physics 2026-04-27 Luca Bianchi , Carlo Marconi , Davide Bacco

We propose a Bell measurement scheme by employing a logical qubit in Greenberger-Horne-Zeilinger (GHZ) entanglement with an arbitrary number of photons. Remarkably, the success probability of the Bell measurement as well as teleportation of…

Quantum Physics · Physics 2015-03-20 Seung-Woo Lee , Kimin Park , Timothy C. Ralph , Hyunseok Jeong

The realization of quantum error correction is an essential ingredient for reaching the full potential of fault-tolerant universal quantum computation. Using a range of different schemes, logical qubits can be redundantly encoded in a set…

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

Bell state measurements (BSM) play a significant role in quantum information and quantum computing, in particular, in fusion-based quantum computing (FBQC). The FBQC model is a framework for universal quantum computing provided that we are…

Quantum Physics · Physics 2024-09-10 Aleksandr Melkozerov , Ashot Avanesov , Ivan Dyakonov , Stanislav Straupe

We show that measuring pairs of qubits in the Bell basis can be used to obtain a simple quantum algorithm for efficiently identifying an unknown stabilizer state of n qubits. The algorithm uses O(n) copies of the input state and fails with…

Quantum Physics · Physics 2017-07-27 Ashley Montanaro

Designs for quantum error correction depend strongly on the connectivity of the qubits. For solid state qubits, the most straightforward approach is to have connectivity constrained to a planar graph. Practical considerations may also…

Quantum Physics · Physics 2024-12-17 Bence Hetényi , James R. Wootton

Informationally complete measurements allow the estimation of expectation values of any operator on a quantum system, by changing only the data-processing of the measurement outcomes. In particular, an informationally complete measurement…

Quantum Physics · Physics 2007-05-23 G. M. D'Ariano , P. Perinotti , M. F. Sacchi

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…

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