arXiv subjects

Abdelmalek Taoutioui

Publications and source records attributed to Abdelmalek Taoutioui.

5 recordsLinked to original sources

arXiv2026

Certification of Absolutely Entangled Sets in the Prepare-and-Measure Scenario

An absolutely entangled set (AES) is a collection of states for which at least one member remains entangled under any choice of global unitary transformation. We develop a semi-device-independent framework for certifying this property from dimensionally bounded prepare-and-measure correlations. A witness value above the maximum attainable with separable preparations of a given dimension rules out every non-AES realization. To upperbound this limit, we construct a semidefinite-programming (SDP) hierarchy tailored to separable preparations. For a two-qubit random-access-code witness, the SDP upper bound and the heuristic lower bound coincide to the reported precision, yielding a concrete AES certification. We also formulate a general construction of witnesses for extended preparation sets containing target pure-state AESs. Examples based on equiangular tight frames, a minimal AES, and mutually unbiased bases further illustrate the scope of the method. In summary, our results establish a systematic and experimentally feasible approach to the certification of AESs in semi-device-independent quantum information protocols.

quant-ph↗

arXiv2025

Certifying asymmetry in the configuration of three qubits

Symmetry restrictions limit the types of tasks that can be achieved with a given set of quantum states. Therefore, any breaking of these symmetries could potentially be exploited as a resource for quantum communication. Here we demonstrate this operationally by certifying asymmetry in the configuration of the Bloch vectors of a set of three unknown qubit states within the dimensionally bounded prepare-and-measure scenario. To do this, we construct a linear witness from three simpler witnesses as building blocks, each featuring, along with two binary measurement settings, three preparations; two of them are associated with the certification task, while the third one serves as an auxiliary. The final witness is chosen to self-test some target configuration. We numerically derive a bound $Q_{\text{mirror}}$ for any mirror-symmetric configuration, thereby certifying asymmetry if this bound is exceeded (e.g. experimentally) for the unknown qubit configuration. We also consider the gap $(Q_{\text{max}}-Q_{\text{mirror}})$ between the analytically derived overall quantum maximum $Q_{\text{max}}$ and the mirror-symmetric bound, and use it as a quantifier of asymmetry in the target configuration. Numerical optimization shows that the most asymmetric configuration then forms a right scalene triangle on the unit Bloch sphere. Finally, we implement our protocol on a public quantum processor, where a clear violation of the mirror-symmetric bound certifies asymmetry in the configuration of our experimental triple of qubit states.

quant-ph↗

arXiv2024

Towards minimal self-testing of qubit states and measurements in prepare-and-measure scenarios

Self-testing is a promising approach to certifying quantum states or measurements. Originally, it relied solely on the outcome statistics of the measurements involved in a device-independent (DI) setup. Extra physical assumptions about the system make the setup semi-DI. In the latter approach, we consider a prepare-and-measure scenario in which the dimension of the mediating particle is assumed to be two. In a setup involving four (three) preparations and three (two) projective measurements in addition to the target, we exemplify how to self-test any four- (three-) outcome extremal positive operator-valued measure using a linear witness. One of our constructions also achieves self-testing of any number of states with the help of as many projective measurements as the dimensionality of the space spanned by the corresponding Bloch vectors. These constructions are conjectured to be minimal in terms of the number of preparations and measurements required. In addition, we implement one of our prepare-and-measure constructions on IBM and IonQ quantum processors and certify the existence of a complex qubit Hilbert space based on the data obtained from these experiments.

quant-ph↗

arXiv2022

Generation of Super Intense Isolated Attosecond Pulses from Trapped Electrons in Metal Surfaces

Generation of ultrabroadband isolated attosecond pulses (IAPs) is essential for time-resolved applications in chemical and material sciences, as they have the potential to access the spectral water window region of chemical elements, which yet has to be established. Here we propose a numerical scheme for highly efficient high-order harmonic generation (HHG) and hence the generation of ultrabroadband IAPs in the XUV and soft x-ray regions. The scheme combines the use of chirped pulses with trapped electrons in copper transition-metal surfaces and takes advantage of the characteristic features of an infrared (IR) single-cycle pulse to achieve high conversion efficiencies and large spectral bandwidths. In particular, we show that ultrabroad IAPs with a duration of 370 as and with a bandwidth covering the photon energy range of 50-250 and 350-450 eV can be produced. We further show that introducing an additional IR single cycle pulse permits to enhance the harmonic yield in the soft x-ray photon energy region by almost 7 order of magnitude. Our findings thus elucidate the relevance of trapped electrons in metal surfaces for developing stable and highly efficient attosecond light sources in compact solid-state devices.

cond-mat.mes-hall↗

arXiv2020

Infrared single-cycle pulse induced high-energy plateaus in high-order harmonic spectroscopy

Motivated by the emerging experiments [e.g. \textit{Z. Nie et al. Nat. Photon. \textbf{12}, 489 (2018)}] on producing infrared (IR) single cycle pulses in the spectral region 5 - 14 $μm$, we theoretically investigate their role for controlling high-order harmonic generation (HHG) process induced by an intense near-infrared (NIR) multi-cycle pulse ($λ$ = 1.27 $μm$). The scenario is demonstrated for a prototype of the hydrogen atom by numerical simulations of the time-dependent Schrödinger equation. In particular, we show that the combined pulses allow one to generate even-order harmonics and most importantly to produce high-energy plateaus and that the harmonic cutoff is extended by a factor of 3 compared to the case with the NIR pulse alone. The emerged high-energy plateaus is understood as a result of a vast momentum transfer from the single-cycle field to the ionized electrons while travelling in the NIR field, and thus leading to high-momentum electron recollisions. We also identify the role of the IR single-cycle field for controlling the directionality of the emitted electrons via the IR-field induced electron displacement effect. We further show that the emerged plateaus can be controlled by varying the relative carrier-envelope phase between the two pulses as well as their wavelengths. Thus, our findings open up new perspectives for time-resolved electron diffraction using an IR single-cycle field-assisted high-harmonic spectroscopy.

physics.atom-ph↗