Optimal linear optical discrimination of Bell-like states
- URL: http://arxiv.org/abs/2112.01605v1
- Date: Thu, 2 Dec 2021 21:16:26 GMT
- Title: Optimal linear optical discrimination of Bell-like states
- Authors: Dov Fields, Janos A. Bergou, Mark Hillery, Siddhartha Santra, Vladimir
Malinovsky
- Abstract summary: Quantum information processing using linear optics is challenging due to the limited set of deterministic operations achievable without using complicated resource-intensive methods.
Here, we consider the task of unambiguously discriminating between Bell-like states without the use of ancillary photons.
We analyze a set of Bell-like states in terms of their distinguishability, entanglement as measured by concurrence, and parameters of the beam-splitter network used for unambiguous discrimination.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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 enhance the information processing capabilities of linear optical
systems they are technologically demanding. Therefore, determining the
constraints posed by linear optics and optimizing linear optical operations for
specific tasks under those constraints, without the use of ancillas, can
facilitate their potential implementation. Here, we consider the task of
unambiguously discriminating between Bell-like states without the use of
ancillary photons. This is a basic problem relevant in diverse settings, for
example, in the measurement of the output of an entangling quantum circuit or
for entanglement swapping at a quantum repeater station. While it is known that
exact Bell states of two qubits can be discriminated with an optimal success
probability of 50% we find, surprisingly, that for Bell-like states the optimal
probability can be only 25%. We analyze a set of Bell-like states in terms of
their distinguishability, entanglement as measured by concurrence, and
parameters of the beam-splitter network used for unambiguous discrimination.
Further, we provide the linear optical configuration comprised of single photon
detectors and beam splitters with input state-dependent parameters that
achieves optimal discrimination in the Bell-like case.
Related papers
- Pre-detection squeezing as a resource for high-dimensional Bell-state measurements [0.0]
We propose a scalable Bell measurement scheme for high-dimensional states, exploiting multiple squeezer devices applied to a linear optical circuit for discriminating the different Bell states.
Our approach does not require ancillary photons, is not limited by the dimension of the quantum states, and is experimentally scalable, thus paving the way toward the realization of an effective high-dimensional Bell measurement.
arXiv Detail & Related papers (2024-12-10T09:43:46Z) - A Hybrid Approach to Mitigate Errors in Linear Photonic Bell-State Measurement for Quantum Interconnects [0.0]
We introduce a novel hybrid detection scheme for Bell-state measurement.
We derive explicit fidelities for quantum teleportation and entanglement swapping processes.
This work provides a new tool for linear optics schemes, with applications to quantum state engineering and quantum interconnects.
arXiv Detail & Related papers (2024-06-14T18:00:00Z) - All-optical modulation with single-photons using electron avalanche [69.65384453064829]
We demonstrate all-optical modulation using a beam with single-photon intensity.
Our approach opens up the possibility of terahertz-speed optical switching at the single-photon level.
arXiv Detail & Related papers (2023-12-18T20:14:15Z) - A low-crosstalk double-side addressing system using acousto-optic
deflectors for atomic ion qubits [43.30164109590217]
We demonstrate a low-crosstalk double-side addressing system based on a pair of acousto-optic deflectors (AODs)
The AODs addressing method can flexibly and parallelly address arbitrary ions between which the distance is variable in a chain.
We employ two 0.4NA objective lenses in both arms of the Raman laser and obtain a beam waist of 0.95$mumathrmm$, resulting in a Rabi rate crosstalk as low as $6.32times10-4$ when the neighboring ion separation is about 5.5$mu
arXiv Detail & Related papers (2023-06-02T07:12:59Z) - Linear optical logical Bell state measurements with optimal
loss-tolerance threshold [0.0]
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 settings.
arXiv Detail & Related papers (2023-02-15T19:01:01Z) - Stabilizer formalism in linear optics and application to Bell-state
discrimination [0.0]
We analyze a Bell-state discrimination scheme with linear optics and ancillary single photons.
With an increasing number of ancilla photons, the success probability of Bell-state discrimination has a maximum of $frac403512 simeq 0.787$.
arXiv Detail & Related papers (2023-01-16T18:29:54Z) - Experimental realization of deterministic and selective photon addition
in a bosonic mode assisted by an ancillary qubit [50.591267188664666]
Bosonic quantum error correcting codes are primarily designed to protect against single-photon loss.
Error correction requires a recovery operation that maps the error states -- which have opposite parity -- back onto the code states.
Here, we realize a collection of photon-number-selective, simultaneous photon addition operations on a bosonic mode.
arXiv Detail & Related papers (2022-12-22T23:32:21Z) - On-chip quantum information processing with distinguishable photons [55.41644538483948]
Multi-photon interference is at the heart of photonic quantum technologies.
Here, we experimentally demonstrate that detection can be implemented with a temporal resolution sufficient to interfere photons detuned on the scales necessary for cavity-based integrated photon sources.
We show how time-resolved detection of non-ideal photons can be used to improve the fidelity of an entangling operation and to mitigate the reduction of computational complexity in boson sampling experiments.
arXiv Detail & Related papers (2022-10-14T18:16:49Z) - Experimental Multi-state Quantum Discrimination in the Frequency Domain
with Quantum Dot Light [40.96261204117952]
In this work, we present the experimental realization of a protocol employing a time-multiplexing strategy to optimally discriminate among eight non-orthogonal states.
The experiment was built on a custom-designed bulk optics analyser setup and single photons generated by a nearly deterministic solid-state source.
Our work paves the way for more complex applications and delivers a novel approach towards high-dimensional quantum encoding and decoding operations.
arXiv Detail & Related papers (2022-09-17T12:59:09Z) - Creation of Entangled Photonic States Using Linear Optics [0.09287179270753103]
We introduce techniques and methods to generate photonic entangled states with high probability.
We show how to improve Bell state preparation from four single photons to up to p=2/3, boost Type-I fusion to 75% with a dual-rail Bell state ancilla and improve Type-II fusion beyond the limits of Bell state discrimination.
arXiv Detail & Related papers (2021-06-25T18:02:42Z) - Rapid characterisation of linear-optical networks via PhaseLift [51.03305009278831]
Integrated photonics offers great phase-stability and can rely on the large scale manufacturability provided by the semiconductor industry.
New devices, based on such optical circuits, hold the promise of faster and energy-efficient computations in machine learning applications.
We present a novel technique to reconstruct the transfer matrix of linear optical networks.
arXiv Detail & Related papers (2020-10-01T16:04:22Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.