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  • 1
    Online Resource
    Online Resource
    Proceedings of the National Academy of Sciences ; 2015
    In:  Proceedings of the National Academy of Sciences Vol. 112, No. 12 ( 2015-03-24), p. 3641-3646
    In: Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, Vol. 112, No. 12 ( 2015-03-24), p. 3641-3646
    Abstract: The dynamics of quantum phase transitions pose one of the most challenging problems in modern many-body physics. Here, we study a prototypical example in a clean and well-controlled ultracold atom setup by observing the emergence of coherence when crossing the Mott insulator to superfluid quantum phase transition. In the 1D Bose–Hubbard model, we find perfect agreement between experimental observations and numerical simulations for the resulting coherence length. We, thereby, perform a largely certified analog quantum simulation of this strongly correlated system reaching beyond the regime of free quasiparticles. Experimentally, we additionally explore the emergence of coherence in higher dimensions, where no classical simulations are available, as well as for negative temperatures. For intermediate quench velocities, we observe a power-law behavior of the coherence length, reminiscent of the Kibble–Zurek mechanism. However, we find nonuniversal exponents that cannot be captured by this mechanism or any other known model.
    Type of Medium: Online Resource
    ISSN: 0027-8424 , 1091-6490
    RVK:
    RVK:
    Language: English
    Publisher: Proceedings of the National Academy of Sciences
    Publication Date: 2015
    detail.hit.zdb_id: 209104-5
    detail.hit.zdb_id: 1461794-8
    SSG: 11
    SSG: 12
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  • 2
    In: Blood, American Society of Hematology, Vol. 116, No. 21 ( 2010-11-19), p. 2247-2247
    Abstract: Abstract 2247 Hematopoietic stem cells (HSC) reside in specific niches in the bone marrow and various signals regulate survival, self-renewal, proliferation, differentiation and trafficking. Egress of HSCs into the peripheral blood (PB) is enhanced by multiple agonists, although the exact mechanisms that regulate this critical process are largely unknown. After treatment with cyclophosphamide and G-CSF, long-term HSC in the bone marrow enter the cell cycle. Additionally, G-CSF induces a reduction of the chemokine stromal cell derived factor 1 (SDF-1) and an increase of its receptor CXCR4 in the bone marrow leading to mobilization of HSC to the PB. Very recently, hypercholesterolemia was identified to promote stem cell mobilization in mice by also disrupting the SDF-1/CXCR4 axis. We retrospectively examined the role of cholesterol and a number of possible confounding factors on mobilization results and stem cell harvests in a patient cohort undergoing a standard mobilization procedure. We retrospectively identified 104 patients receiving high-dose cyclophosphamide (CY) for stem cell mobilization between 1997 and 2009 using a clinical database. We examined the role of cholesterol and a number of additional possible confounding factors (e.g. gender, weight, age, number of prior therapy lines, laboratory results like creatinine, uric acid, bilirubin, potein, LDH and long-term medication with common drug classes) on stem cell mobilization and harvest using univariate and multivariate analyses. Out of the 104 patients, 21 did not have cholesterol levels available. Among the remaining 83 patients included, 33 (39.8%) were identified as having hypercholesterolemia (defined as 〉 6.2 mmol/L). The mean number of prior lines of anti-neoplastic therapy was 1.52 (median 1, range 1–6). A lower number of prior therapy lines (p=0.010), higher lactate dehydrogenase levels (LDH, p=0.006), higher cholesterol (p=0.012) and triglycerides (TG, p=0.041) as well as long-term medication with beta-blockers (p=0.024) were significantly correlated with better CD34+-mobilization. Since, as expected, cholesterol and TG were highly correlated (p 〈 0.001), TG were excluded from further multivariate analysis as a single factor. A multivariate ANCOVA model then allowed the adjusted assessment of the influencing factors on the peak CD34+-counts and revealed a positive linear dependence on LDH (slope: 0.41, p=0.047) and on cholesterol (slope: 0.60, p=0.012) only. Patients with hypercholesterolemia had a higher CD34+-peak compared to patients with normal cholesterol levels (135.5 vs. 73.4/μL, p=0.015). The mean CD34+-cell counts in the PB showed significantly higher levels on day 12 (109.1 vs. 53.8/μL, p=0.033) and on day 13 (123.7/μL vs. 45.7/μL, p=0.002). This clinical data is in high accordance with data in the mouse model that could show a major effect of a high-cholesterol diet on the number of circulating progenitor cells. Accordingly, the overall number of harvested CD34+-cells was higher in patients with hypercholesterolemia (1027.5 vs. 644.4×106, p=0.039, adjusted to body weight: 14.7 vs. 8.5×106/kg, p=0.060) and a sufficient number for at least one stem cell transplantation (more than 2.0 CD34+ cells × 106/kg) was achieved in a remarkably higher proportion (84.9%vs. 52.9%, p=0.004). In summary, our retrospective multivariate analysis including multiple possible factors extends this significant and potentially clinically relevant observation to the human system, since patients with hypercholesterolemia showed better mobilization, higher stem cell yields and a sufficient harvest for at least one autologous transplantation in a remarkably higher proportion. Whether in patients with successfully treated hypercholesterolemia, cholesterol-lowering therapy should be stopped during mobilization therapy in order to increase stem cell harvest will need to be assessed in the context of a clinical trial following prospective validation of the results reported here. Furthermore, it remains to be seen whether this effect is still preserved under stem cell mobilization with other regimens such as plerixafor. Disclosures: No relevant conflicts of interest to declare.
    Type of Medium: Online Resource
    ISSN: 0006-4971 , 1528-0020
    RVK:
    RVK:
    Language: English
    Publisher: American Society of Hematology
    Publication Date: 2010
    detail.hit.zdb_id: 1468538-3
    detail.hit.zdb_id: 80069-7
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  • 3
    Online Resource
    Online Resource
    Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften ; 2019
    In:  Quantum Vol. 3 ( 2019-05-20), p. 142-
    In: Quantum, Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften, Vol. 3 ( 2019-05-20), p. 142-
    Abstract: Quantum phases of matter are resources for notions of quantum computation. In this work, we establish a new link between concepts of quantum information theory and condensed matter physics by presenting a unified understanding of symmetry-protected topological (SPT) order protected by subsystem symmetries and its relation to measurement-based quantum computation (MBQC). The key unifying ingredient is the concept of quantum cellular automata (QCA) which we use to define subsystem symmetries acting on rigid lower-dimensional lines or fractals on a 2D lattice. Notably, both types of symmetries are treated equivalently in our framework. We show that states within a non-trivial SPT phase protected by these symmetries are indicated by the presence of the same QCA in a tensor network representation of the state, thereby characterizing the structure of entanglement that is uniformly present throughout these phases. By also formulating schemes of MBQC based on these QCA, we are able to prove that most of the phases we construct are computationally universal phases of matter, in which every state is a resource for universal MBQC. Interestingly, our approach allows us to construct computational phases which have practical advantages over previous examples, including a computational speedup. The significance of the approach stems from constructing novel computationally universal phases of matter and showcasing the power of tensor networks and quantum information theory in classifying subsystem SPT order.
    Type of Medium: Online Resource
    ISSN: 2521-327X
    Language: English
    Publisher: Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
    Publication Date: 2019
    detail.hit.zdb_id: 2931392-2
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  • 4
    Online Resource
    Online Resource
    Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften ; 2021
    In:  Quantum Vol. 5 ( 2021-11-17), p. 582-
    In: Quantum, Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften, Vol. 5 ( 2021-11-17), p. 582-
    Abstract: A large body of recent work has begun to explore the potential of parametrized quantum circuits (PQCs) as machine learning models, within the framework of hybrid quantum-classical optimization. In particular, theoretical guarantees on the out-of-sample performance of such models, in terms of generalization bounds, have emerged. However, none of these generalization bounds depend explicitly on how the classical input data is encoded into the PQC. We derive generalization bounds for PQC-based models that depend explicitly on the strategy used for data-encoding. These imply bounds on the performance of trained PQC-based models on unseen data. Moreover, our results facilitate the selection of optimal data-encoding strategies via structural risk minimization, a mathematically rigorous framework for model selection. We obtain our generalization bounds by bounding the complexity of PQC-based models as measured by the Rademacher complexity and the metric entropy, two complexity measures from statistical learning theory. To achieve this, we rely on a representation of PQC-based models via trigonometric functions. Our generalization bounds emphasize the importance of well-considered data-encoding strategies for PQC-based models.
    Type of Medium: Online Resource
    ISSN: 2521-327X
    Language: English
    Publisher: Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
    Publication Date: 2021
    detail.hit.zdb_id: 2931392-2
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  • 5
    Online Resource
    Online Resource
    Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften ; 2023
    In:  Quantum Vol. 7 ( 2023-07-11), p. 1053-
    In: Quantum, Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften, Vol. 7 ( 2023-07-11), p. 1053-
    Abstract: Extracting tomographic information about quantum states is a crucial task in the quest towards devising high-precision quantum devices. Current schemes typically require measurement devices for tomography that are a priori calibrated to high precision. Ironically, the accuracy of the measurement calibration is fundamentally limited by the accuracy of state preparation, establishing a vicious cycle. Here, we prove that this cycle can be broken and the dependence on the measurement device & apos;s calibration significantly relaxed. We show that exploiting the natural low-rank structure of quantum states of interest suffices to arrive at a highly scalable `blind & apos; tomography scheme with a classically efficient post-processing algorithm. We further improve the efficiency of our scheme by making use of the sparse structure of the calibrations. This is achieved by relaxing the blind quantum tomography problem to the de-mixing of a sparse sum of low-rank matrices. We prove that the proposed algorithm recovers a low-rank quantum state and the calibration provided that the measurement model exhibits a restricted isometry property. For generic measurements, we show that it requires a close-to-optimal number of measurement settings. Complementing these conceptual and mathematical insights, we numerically demonstrate that robust blind quantum tomography is possible in a practical setting inspired by an implementation of trapped ions.
    Type of Medium: Online Resource
    ISSN: 2521-327X
    Language: English
    Publisher: Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
    Publication Date: 2023
    detail.hit.zdb_id: 2931392-2
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  • 6
    Online Resource
    Online Resource
    Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften ; 2023
    In:  Quantum Vol. 7 ( 2023-09-26), p. 1123-
    In: Quantum, Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften, Vol. 7 ( 2023-09-26), p. 1123-
    Abstract: A common approach to studying the performance of quantum error correcting codes is to assume independent and identically distributed single-qubit errors. However, the available experimental data shows that realistic errors in modern multi-qubit devices are typically neither independent nor identical across qubits. In this work, we develop and investigate the properties of topological surface codes adapted to a known noise structure by Clifford conjugations. We show that the surface code locally tailored to non-uniform single-qubit noise in conjunction with a scalable matching decoder yields an increase in error thresholds and exponential suppression of sub-threshold failure rates when compared to the standard surface code. Furthermore, we study the behaviour of the tailored surface code under local two-qubit noise and show the role that code degeneracy plays in correcting such noise. The proposed methods do not require additional overhead in terms of the number of qubits or gates and use a standard matching decoder, hence come at no extra cost compared to the standard surface-code error correction.
    Type of Medium: Online Resource
    ISSN: 2521-327X
    Language: English
    Publisher: Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
    Publication Date: 2023
    detail.hit.zdb_id: 2931392-2
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  • 7
    Online Resource
    Online Resource
    Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften ; 2018
    In:  Quantum Vol. 2 ( 2018-05-22), p. 65-
    In: Quantum, Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften, Vol. 2 ( 2018-05-22), p. 65-
    Abstract: One of the main milestones in quantum information science is to realise quantum devices that exhibit an exponential computational advantage over classical ones without being universal quantum computers, a state of affairs dubbed quantum speedup, or sometimes "quantum computational supremacy". The known schemes heavily rely on mathematical assumptions that are plausible but unproven, prominently results on anticoncentration of random prescriptions. In this work, we aim at closing the gap by proving two anticoncentration theorems and accompanying hardness results, one for circuit-based schemes, the other for quantum quench-type schemes for quantum simulations. Compared to the few other known such results, these results give rise to a number of comparably simple, physically meaningful and resource-economical schemes showing a quantum speedup in one and two spatial dimensions. At the heart of the analysis are tools of unitary designs and random circuits that allow us to conclude that universal random circuits anticoncentrate as well as an embedding of known circuit-based schemes in a 2D translation-invariant architecture.
    Type of Medium: Online Resource
    ISSN: 2521-327X
    Language: English
    Publisher: Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
    Publication Date: 2018
    detail.hit.zdb_id: 2931392-2
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  • 8
    Online Resource
    Online Resource
    Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften ; 2020
    In:  Quantum Vol. 4 ( 2020-08-31), p. 314-
    In: Quantum, Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften, Vol. 4 ( 2020-08-31), p. 314-
    Abstract: Within the context of hybrid quantum-classical optimization, gradient descent based optimizers typically require the evaluation of expectation values with respect to the outcome of parameterized quantum circuits. In this work, we explore the consequences of the prior observation that estimation of these quantities on quantum hardware results in a form of s t o c h a s t i c gradient descent optimization. We formalize this notion, which allows us to show that in many relevant cases, including VQE, QAOA and certain quantum classifiers, estimating expectation values with k measurement outcomes results in optimization algorithms whose convergence properties can be rigorously well understood, for any value of k . In fact, even using single measurement outcomes for the estimation of expectation values is sufficient. Moreover, in many settings the required gradients can be expressed as linear combinations of expectation values -- originating, e.g., from a sum over local terms of a Hamiltonian, a parameter shift rule, or a sum over data-set instances -- and we show that in these cases k -shot expectation value estimation can be combined with sampling over terms of the linear combination, to obtain ``doubly stochastic'' gradient descent optimizers. For all algorithms we prove convergence guarantees, providing a framework for the derivation of rigorous optimization results in the context of near-term quantum devices. Additionally, we explore numerically these methods on benchmark VQE, QAOA and quantum-enhanced machine learning tasks and show that treating the stochastic settings as hyper-parameters allows for state-of-the-art results with significantly fewer circuit executions and measurements.
    Type of Medium: Online Resource
    ISSN: 2521-327X
    Language: English
    Publisher: Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
    Publication Date: 2020
    detail.hit.zdb_id: 2931392-2
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  • 9
    Online Resource
    Online Resource
    Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften ; 2022
    In:  Quantum Vol. 6 ( 2022-09-19), p. 806-
    In: Quantum, Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften, Vol. 6 ( 2022-09-19), p. 806-
    Abstract: Quantum simulation, the simulation of quantum processes on quantum computers, suggests a path forward for the efficient simulation of problems in condensed-matter physics, quantum chemistry, and materials science. While the majority of quantum simulation algorithms are deterministic, a recent surge of ideas has shown that randomization can greatly benefit algorithmic performance. In this work, we introduce a scheme for quantum simulation that unites the advantages of randomized compiling on the one hand and higher-order multi-product formulas, as they are used for example in linear-combination-of-unitaries (LCU) algorithms or quantum error mitigation, on the other hand. In doing so, we propose a framework of randomized sampling that is expected to be useful for programmable quantum simulators and present two new multi-product formula algorithms tailored to it. Our framework reduces the circuit depth by circumventing the need for oblivious amplitude amplification required by the implementation of multi-product formulas using standard LCU methods, rendering it especially useful for early quantum computers used to estimate the dynamics of quantum systems instead of performing full-fledged quantum phase estimation. Our algorithms achieve a simulation error that shrinks exponentially with the circuit depth. To corroborate their functioning, we prove rigorous performance bounds as well as the concentration of the randomized sampling procedure. We demonstrate the functioning of the approach for several physically meaningful examples of Hamiltonians, including fermionic systems and the Sachdev–Ye–Kitaev model, for which the method provides a favorable scaling in the effort.
    Type of Medium: Online Resource
    ISSN: 2521-327X
    Language: English
    Publisher: Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
    Publication Date: 2022
    detail.hit.zdb_id: 2931392-2
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  • 10
    Online Resource
    Online Resource
    Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften ; 2023
    In:  Quantum Vol. 7 ( 2023-09-21), p. 1117-
    In: Quantum, Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften, Vol. 7 ( 2023-09-21), p. 1117-
    Abstract: Sharing multi-partite quantum entanglement between parties allows for diverse secure communication tasks to be performed. Among them, conference key agreement (CKA) - an extension of key distribution to multiple parties - has received much attention recently. Interestingly, CKA can also be performed in a way that protects the identities of the participating parties, therefore providing a n o n y m i t y . In this work, we propose an anonymous CKA protocol for three parties that is implemented in a highly practical network setting. Specifically, a line of quantum repeater nodes is used to build a linear cluster state among all nodes, which is then used to anonymously establish a secret key between any three of them. The nodes need only share maximally entangled pairs with their neighbours, therefore avoiding the necessity of a central server sharing entangled states. This linear chain setup makes our protocol an excellent candidate for implementation in future quantum networks. We explicitly prove that our protocol protects the identities of the participants from one another and perform an analysis of the key rate in the finite regime, contributing to the quest of identifying feasible quantum communication tasks for network architectures beyond point-to-point.
    Type of Medium: Online Resource
    ISSN: 2521-327X
    Language: English
    Publisher: Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
    Publication Date: 2023
    detail.hit.zdb_id: 2931392-2
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