Noise-Assisted Digital Quantum Simulation of Open Systems Using Partial Probabilistic Error Cancellation, José D. Guimarães, James Lim, Mikhail I. Vasilevskiy, Susana F. Huelga, and Martin B. Plenio, PRX Quantum 4, 040329, arXiv:2302.14592

Quantum systems are inherently open and susceptible to environmental noise, which can have both detrimental and beneficial effects on their dynamics. This phenomenon has been observed in biomolecular systems, where noise enables novel functionalities, making the simulation of their dynamics a crucial target for digital and analog quantum simulation. Nevertheless, the computational capabilities of current quantum devices are often limited due to their inherent noise. In this work, we present a novel approach that capitalizes on the intrinsic noise of quantum devices to reduce the computational resources required for simulating open quantum systems. Our approach combines quantum noise characterization methods with quantum error mitigation techniques, enabling us to manipulate and control the intrinsic noise in a quantum circuit. Specifically, we selectively enhance or reduce decoherence rates in the quantum circuit to achieve the desired simulation of open-system dynamics. We provide a detailed description of our methods and report on the results of noise characterization and quantum error mitigation experiments conducted on both real and emulated IBM Quantum computers. Additionally, we estimate the experimental resource requirements for our techniques. Our approach holds the potential to unlock new simulation techniques in noisy intermediate-scale quantum devices, harnessing their intrinsic noise to enhance quantum computations.

On tests of the quantum nature of gravitational interactions in presence of non-linear corrections to quantum mechanics, Giovanni Spaventa, Ludovico Lami, and Martin B. Plenio, Quantum 7, 1157 (2023), arXiv:2302.00365v2

Is gravity fundamentally quantum? One way to answer this question is to try and see whether two particles can get entangled via gravitational interactions. In fact, the entanglement between particles is taken as a hallmark of the quantum nature of gravity. However, this result rests on a hidden assumption: that the theory of quantum mechanics is fundamentally linear, even at the scales where gravity matters. In this work we show how a nonlinear theory with classical gravity (or no gravity at all) could reproduce the same entanglement that one expects from a theory in which gravity is traded as a coherent quantum interaction, opening a loophole in these kind of experiments. We then provide a way to experimentally falsify these nonlinear models, so that the linearity of the theory is certified, and the loophole is closed.

A quantum physics layer of epigenetics: a hypothesis deduced from charge transfer and chirality-induced spin selectivity of DNA, Reiner Siebert, Ole Ammerpohl, Mirko Rossini, Dennis Herb, Sven Rau, Martin B. Plenio, Fedor Jelezko, and Joachim Ankerhold, Clinical Epigenetics 15, 145 (2023)

Epigenetic mechanisms are informational cellular processes instructing normal and diseased phenotypes. They are associated with DNA but without altering the DNA sequence. Whereas chemical processes like DNA methylation or histone modifications are well-accepted epigenetic mechanisms, we herein propose the existence of an additional quantum physics layer of epigenetics.

Quantum effects in DNA are prone to triggering and manipulation by external means. By the hypothesis put forward here, we would like to foster research on “Quantum Epigenetics” at the interface of medicine, biology, biochemistry, and physics to investigate the potential epigenetic impact of quantum physical principles on (human) life.

On a gap in the proof of the generalised quantum Stein’s lemma and its consequences for the reversibility of quantum resources, Mario Berta, Fernando G. S. L. Brandão, Gilad Gour, Ludovico Lami, Martin B. Plenio, Bartosz Regula, and Marco Tomamichel, Quantum 7, 1103 (2023), arXiv:2205.02813v4

How efficiently can one detect the resources present in a quantum system? Qualitatively, the more resourceful a system is, the easier it is to detect its resources. To give a rigorous interpretation to this qualitative intuition, one needs to compute a quantity known as the Stein exponent of an associated quantum hypothesis testing (state discrimination) task. The generalised quantum Stein’s lemma, proposed by Brandão and Plenio in 2010, was a key piece of mathematical machinery that was designed to do precisely that. What is more, the resulting Stein exponent turned out to be given by a known resource measure, the regularised relative entropy. This makes intuitive sense, as a larger Stein exponent enhances the effectiveness of distinguishing a given state from all resourceless ones.

The applications of this result were manifold, but perhaps the most important was the identification of a framework for quantum resource manipulation that would become completely reversible. In this framework, discovered by Brandão and Plenio in 2008 and later generalised to almost all quantum resources by Brandão and Gour, the given resource could be freely converted from one form into the other at no (theoretical) loss. This mimics the classical thermodynamical behaviour of work and heat, which can be reversibly transformed into each other by Carnot cycles. For the case of entanglement theory, even more connections were established: notably, in this framework the distillable entanglement of any state is precisely equal to its Stein exponent.

In our work, we however report the existence of a serious gap in the original proof of the generalised quantum Stein’s lemma. Consequently, it remains uncertain whether this result is ultimately valid or not — the proof is incomplete, but we do not know of any counterexample to the original claim either. The results by Brandão and Plenio on reversibility of entanglement, and the subsequent ones on reversibility of general quantum resources, are now to be considered unproven. We discuss this state of affairs in detail, listing the affected results and explaining how to recover some of them. We also examine various ways of proving alternative but weaker forms of the generalised quantum Stein’s lemma. One of the goals of this paper is to stimulate further research on this problem, which appears to be one of the major open problems in the field of quantum entanglement theory and quantum resource theories in general, and whose complete solution would represent major progress in our understanding of the mysterious quantum world.

We present a group theoretical and ab initio analysis of lattice point defects in fluorographene, with a focus on neutral and negative VCF vacancies. By using a combination of density functional theory calculations and group theory analysis, we investigate the many-body configurations of the defects and calculate the vertical absorption and zero-phonon line energies of the excited states and their dependence with strain. The description of the defects is extended by computing their formation energy, as well as further relevant parameters as the Jahn-Teller energy for neutral VCF and the zero field splitting for negative VCF vacancies. Based on our results, we discuss possible quantum applications of these color centers when coupled to mechanical oscillation modes of the hosting two-dimensional material. The symmetry and active orbitals of the defects exhibit a parallelism with those of the extensively studied nitrogen vacancy (NV) centers in diamond. In this context, the studied defects emerge as interesting candidates for the development of two-dimensional quantum devices based on fluorographene.

Continuous monitoring of driven-dissipative quantum-optical systems is a crucial element in the implementation of quantum metrology, providing essential strategies for achieving highly precise measurements beyond the classical limit. In this context, the relevant figure of merit is the quantum Fisher information of the radiation field emitted by the driven-dissipative sensor. Saturation of the corresponding precision limit as defined by the quantum Crame ́r-Rao bound is typically not achieved by conventional, temporally local continuous-measurement schemes such as counting or homodyning. To address the outstanding open challenge of efficient retrieval of the quantum Fisher information of the emission field, we design a novel continuous-measurement strategy featuring temporally quasilocal measurement bases as captured by matrix-product states. Such a measurement can be implemented effectively by injecting the emission field of the sensor into an auxiliary open system, a “quantum-decoder” module, which “decodes” specific input matrix-product states into simple product states as its output field, and performing conventional continuous measurement at the output. We devise a universal recipe for the construction of the decoder by exploiting the time-reversal transformation of quantum-optical input-output channels, thereby establishing a universal method to achieve the quantum Crame ́r-Rao precision limit for generic sensor designs based on continuous measurement. As a by-product, we establish an effective formula for the evaluation of the quantum Fisher information of the emission field of generic driven- dissipative open sensors. We illustrate the power of our scheme with paramagnetic open sensor designs including linear force sensors, fiber-interfaced nonlinear emitters, and driven-dissipative many-body sensors, and demonstrate that it can be robustly implemented under realistic experimental imperfections.

Active hyperpolarization of the nuclear spin lattice: Application to hexagonal boron nitride color centers, F. T. Tabesh, M. Fani, J. S. Pedernales, M. B. Plenio, and M. Abdi, Phys. Rev. B 107, 214307, arXiv:2010.03334

The active driving of the electron spin of a color center is known as a method for the hyperpolarization of the surrounding nuclear spin bath and to initialize a system with large number of spins. Here, we investigate the efficiency of this approach for various spin coupling schemes in a one-dimensional Heisenberg chain coupled to a central spin. To extend our study to the realistic systems with a large number of interacting spins, we employ an approximate method based on Holstein-Primakoff transformation. The validity of the method for describing spin polarization dynamics is benchmarked by the exact numerics for a small lattice, where the accuracy of the bosonic Holstein-Primakoff approximation approach is confirmed. We, thus, extend our analysis to larger spin systems where the exact numerics are out of reach. The results prove the efficiency of the active driving method when the central spin interaction with the spin bath is long range and the inter-spin interactions in the bath spins is large enough. The method is then applied to the realistic case of optically active negatively charged boron vacancy centers (VB) in hexagonal boron nitride. Our results suggest that a high degree of hyperpolarization in the boron and nitrogen nuclear spin lattices is achievable even starting from a fully thermal bath. As an initialization, our work provides the first step toward the realization of a two-dimensional quantum simulator based on natural nuclear spins and it can prove useful for extending the coherence time of the VB centers.

Driving force and nonequilibrium vibronic dynamics in charge separation of strongly bound electron–hole pairs, Alejandro D. Somoza, Nicola Lorenzoni, James Lim, Susana F. Huelga, and Martin B. Plenio, Commun Phys 6, 65 (2023)arXiv:2205.06623

Electron-hole pairs in organic photovoltaics efficiently dissociate although their Coulomb- binding energy exceeds thermal energy at room temperature. The vibronic coupling of electronic states to structured vibrational environments containing multiple underdamped modes is thought to assist charge separation. However, non-perturbative simulations of such large, spatially extended, electronic-vibrational (vibronic) systems remain an unmet challenge which current methods bypass by considering effective one-dimensional Coulomb potentials or unstructured environments where the effect of underdamped modes is ignored. Here we address this challenge with a non-perturbative simulation tool and investigate the charge separation dynamics in one, two and three-dimensional donor-acceptor networks to identify under what conditions underdamped vibrational motion induces efficient long-range charge separation. The resulting comprehensive picture of ultrafast charge separation differentiates electronic or vibronic couplings mechanisms for a wide range of driving forces and identifies the role of entropic effects in extended systems. This provides a toolbox for the design of efficient charge separation pathways in artificial nanostructures.

The detection of the quantum nature of gravity in the low-energy limit hinges on achieving an unprecedented degree of force sensitivity with mechanical systems. Against this background we explore the relationship between the sensitivity of mechanical systems to external forces and properties of the quantum states they are prepared in. We establish that the main determinant of the force sensitivity in pure quantum states is their spatial delocalisation and we link the force sensitivity to the rate at which two mechanical systems become entangled under a quantum force. We exemplify this at the hand of two commonly considered configurations. One that involves gravitationally interacting objects prepared in non-Gaussian states such as Schrödinger-cat states, where the generation of entanglement is typically ascribed to the accumulation of a dynamical phase between components in superposition experiencing varying gravitational potentials. The other prepares particles in Gaussian states that are strongly squeezed in momentum and delocalised in position where entanglement generation is attributed to accelerations. We offer a unified description of these two arrangements using the phase-space representation of the interacting particles, and link their entangling rate to their force sensitivity, showing that both configurations get entangled at the same rate provided that they are equally delocalised in space. Our description in phase space and the established relation between force sensitivity and entanglement sheds light on the intricacies of why the equivalence between these two configurations holds, something that is not always evident in the literature, due to the distinct physical and analytical methods employed to study each of them. Notably, our findings demonstrate that while the conventional computation of entanglement via the dynamical phase remains accurate for systems in Schrödinger-cat states, it may yield erroneous estimations for systems prepared in squeezed cat states.

We study asymptotic state transformations in continuous variable quantum resource theories. In particular, we prove that monotones displaying lower semicontinuity and strong superadditivity can be used to bound asymptotic transformation rates in these settings. This removes the need for asymptotic continuity, which cannot be defined in the traditional sense for infinite-dimensional systems. We consider three applications, to the resource theories of (I) optical nonclassicality, (II) entanglement, and (III) quantum thermodynamics. In cases (II) and (III), the employed monotones are the (infinite-dimensional) squashed entanglement and the free energy, respectively. For case (I), we consider the measured relative entropy of nonclassicality and prove it to be lower semicontinuous and strongly superadditive. One of our main technical contributions, and a key tool to establish these results, is a handy variational expression for the measured relative entropy of nonclassicality. Our technique then yields computable upper bounds on asymptotic transformation rates, including those achievable under linear optical elements. We also prove a number of results which guarantee that the measured relative entropy of nonclassicality is bounded on any physically meaningful state and easily computable for some classes of states of interest, e.g., Fock diagonal states. We conclude by applying our findings to the problem of cat state manipulation and noisy Fock state purification.

The elucidation of the mechanisms underpinning chiral-induced spin selectivity remains an out- standing scientific challenge. Here we consider the role of delocalized phonon modes in electron trans- port in chiral structures and demonstrate that spin selectivity can originate from spin-dependent energy and momentum conservation in electron-phonon scattering events. While this mechanism is robust to the specific nature of the vibrational modes, the degree of spin polarization depends on environmental factors, such as the specific temperature and phonon relaxation rates, as well as the presence of external driving fields. This parametric dependence is used to present experimentally testable predictions of our model.