Discriminating Single-Photon States Unambiguously in High Dimensions

Agnew, Megan; Bolduc, Eliot; Resch, Katharina; Franke‐Arnold, Sonja; Leach, Jonathan

doi:10.1103/physrevlett.113.020501

Cited by 25 publications

(15 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In other words, UQSD is the best bet for discriminating between two non-orthogonal states. This fact has also been experimentally demonstrated recently [25,26]. Thus, the IDP limit sets a fundamental bound on the distinguishability of two non-orthogonal states.…”

Section: Unambiguous Quantum State Discriminationsupporting

confidence: 61%

Three-slit interference: A duality relation: Fig. 1.

Siddiqui

Qureshi

2015

Prog. Theor. Exp. Phys.

View full text Add to dashboard Cite

The issue of interference and which-way information is addressed in the context of 3-slit interference experiments. A new path distinguishability D Q is introduced, based on Unambiguous Quantum State Discrimination (UQSD). An inequality connecting the interference visibility and path distinguishability, V + 2D Q 3−D Q ≤ 1, is derived which puts a bound on how much fringe visibility and which-way information can be simultaneously obtained. It is argued that this bound is tight. For 2-slit interference, we derive a new duality relation which reduces to Englert's duality relation and Greenberger-Yasin's duality relation, in different limits.

show abstract

Section: Unambiguous Quantum State Discriminationsupporting

confidence: 61%

Three-slit interference: A duality relation: Fig. 1.

Siddiqui

Qureshi

2015

Prog. Theor. Exp. Phys.

View full text Add to dashboard Cite

show abstract

“…In order to show the possibility of using different fiducial states, we used |α 0 (α k ) [see Eq. (22)] as the fiducial state for reconstructing state |Ψ D k , where the values of α k are the ones shown in Table II.…”

Section: Methodsmentioning

confidence: 99%

“…Typically, photonic platforms are used as testbed experiments to study quantum information processing in higher dimensions because different degrees of freedom of single photons can be efficiently used to encode the qudits. For instance, one can resort to the orbital angular momentum [18][19][20][21][22], frequency [23][24][25], time bin [26], path [27], and the transverse position/momentum [28,29] encoding methods.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Experimental quantum tomography assisted by multiply symmetric states in higher dimensions

et al. 2019

View full text Add to dashboard Cite

High-dimensional quantum information processing has become a mature field of research with several different approaches being adopted for the encoding of D-dimensional quantum systems. Such progress has fueled the search of reliable quantum tomographic methods aiming for the characterization of these systems, being most of these methods specifically designed for a given scenario. Here, we report on a new tomographic method based on multiply symmetric states and on experimental investigations to study its performance in higher dimensions. Unlike other methods, it is guaranteed to exist in any dimension and provides a significant reduction in the number of measurement outcomes when compared to standard quantum tomography. Furthermore, in the case of odd dimensions, the method requires the least possible number of measurement outcomes. In our experiment we adopt the technique where high-dimensional quantum states are encoded using the linear transverse momentum of single photons and are controlled by spatial light modulators. Our results show that fidelities of 0.984 ± 0.009 with ensemble sizes of only 1.5 × 10 5 photons in dimension D = 15 can be obtained in typical laboratory conditions, thus showing its practicability in higher dimensions.

show abstract

“…This has led to considerable experimental interest in nonprojective measurements (see e.g. [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33]). Given their conceptual appeal and their role as a quantum information resource, it is natural to investigate methods for realising such measurements and to certify that they are indispensable, as compared to standard measurements, to optimally perform concrete tasks.…”

mentioning

confidence: 99%

Certification of a Nonprojective Qudit Measurement using Multiport Beamsplitters

Martı́nez¹,

Gómez²,

Cariñe³

et al. 2022

Preprint

View full text Add to dashboard Cite

Generalised quantum measurements go beyond the textbook concept of a projection onto an orthonormal basis in Hilbert space. They are not only of fundamental relevance but have also an important role in quantum information tasks. However, it is highly demanding to certify that a generalised measurement is indeed required to explain the results of a quantum experiment in which only the degrees of freedom are assumed to be known. Here, we use state-of-the-art multicore optical fiber technology to build multiport beamsplitters and faithfully implement a seven-outcome generalised measurement in a four-dimensional Hilbert space with a fidelity of 99.7%. We apply it to perform an elementary quantum communication task and demonstrate a success rate that cannot be simulated in any conceivable quantum protocol based on standard projective measurements on quantum messages of the same dimension. Our approach, which is compatible with modern photonic platforms, showcases an avenue for faithful and high-quality implementation of genuinely nonprojective quantum measurements beyond qubit systems.

show abstract

Discriminating Single-Photon States Unambiguously in High Dimensions

Cited by 25 publications

References 50 publications

Three-slit interference: A duality relation: Fig. 1.

Three-slit interference: A duality relation: Fig. 1.

Experimental quantum tomography assisted by multiply symmetric states in higher dimensions

Certification of a Nonprojective Qudit Measurement using Multiport Beamsplitters

Contact Info

Product

Resources

About