Christian R. Müller
Max Planck Society
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Featured researches published by Christian R. Müller.
Nature Physics | 2010
Mario A. Usuga; Christian R. Müller; Christoffer Wittmann; Petr Marek; Radim Filip; Christoph Marquardt; Gerd Leuchs; Ulrik L. Andersen
Amplifying a signal usually also amplifies the noise. A quantum-state amplifier is now demonstrated that can actually decrease uncertainty about the state’s phase. Counterintuitively, the concept involves the addition of thermal noise.
New Journal of Physics | 2012
Christian R. Müller; Mario A. Usuga; Christoffer Wittmann; Masahiro Takeoka; Christoph Marquardt; Ulrik L. Andersen; Gerd Leuchs
We propose and experimentally demonstrate a near-optimal discrimination scheme for the quadrature phase shift keying (QPSK) protocol. We show in theory that the performance of our hybrid scheme is superior to the standard scheme—heterodyne detection—for all signal amplitudes and underpin the predictions with our experimental results. Furthermore, our scheme provides hitherto the best performance in the domain of highly attenuated signals. The discrimination is composed of a quadrature measurement, a conditional displacement and a threshold detector.We propose and experimentally demonstrate a near-optimal discrimination scheme for the quadrature phase shift keying protocol (QPSK). We show in theory that the performance of our hybrid scheme is superior to the standard scheme heterodyne detection for all signal amplitudes and underpin the predictions with our experimental results. Furthermore, our scheme provides the hitherto best performance in the domain of highly attenuated signals. The discrimination is composed of a quadrature measurement, a conditional displacement and a threshold detector. PACS numbers: 03.67.Hk, 03.65.Ta, 42.50.Ex ar X iv :1 20 4. 08 88 v2 [ qu an tph ] 2 6 Ju n 20 12 QPSK coherent state discrimination via a hybrid receiver 2
New Journal of Physics | 2012
Christian R. Müller; Bohumil Stoklasa; Christian Peuntinger; Christian Gabriel; Jaroslav Řeháček; Zdenek Hradil; A. B. Klimov; Gerd Leuchs; Ch. Marquardt; L. L. Sanchez-Soto
We reconstruct the polarization sector of a bright polarization squeezed beam starting from a complete set of Stokes measurements. Given the symmetry that underlies the polarization structure of quantum fields, we use the unique SU(2) Wigner distribution to represent states. In the limit of localized bright states, the Wigner function can be approximated by an inverse three-dimensional Radon transform. We compare this direct reconstruction with the results of a maximum likelihood estimation, thus finding excellent agreement.
New Journal of Physics | 2015
Christian R. Müller; Christoph Marquardt
The impossibility of perfectly discriminating non-orthogonal quantum states imposes far-reaching consequences both on quantum and classical communication schemes. We propose and numerically analyze an optimized quantum receiver for the discrimination of phase encoded signals. Our scheme outperforms the standard quantum limit and approaches the Helstrom bound for any signal power. The discrimination is performed via an optimized, feedback-mediated displacement prior to a photon counting detector. We provide a detailed analysis of the influence of excess noise and technical imperfections on the average error probability. The results demonstrate the receiver?s robustness and show that it can outperform any classical receiver over a wide range of realistic parameters.
Physical Review Letters | 2016
Christian R. Müller; Christian Peuntinger; Thomas Dirmeier; Imran Khan; Ulrich Vogl; Christoph Marquardt; Gerd Leuchs; L. L. Sanchez-Soto; Yong Siah Teo; Zdenek Hradil; Jaroslav Řeháček
The accuracy in determining the quantum state of a system depends on the type of measurement performed. Homodyne and heterodyne detection are the two main schemes in continuous-variable quantum information. The former leads to a direct reconstruction of the Wigner function of the state, whereas the latter samples its Husimi Q function. We experimentally demonstrate that heterodyne detection outperforms homodyne detection for almost all Gaussian states, the details of which depend on the squeezing strength and thermal noise.
european quantum electronics conference | 2017
Kevin Günthner; Imran Khan; Dominique Elser; Birgit Stiller; Omer Bayraktar; Christian R. Müller; Karen Saucke; Daniel Tröndle; F. Heine; Stefan Seel; Peter Greulich; Herwig Zech; Björn Gütlich; Sabine Philipp-May; Christoph Marquardt; Gerd Leuchs
Quantum key distribution (QKD) has raised increased attention over the past years as one of the most attractive quantum technologies for practical implementation. QKD has already been implemented in intra-city networks all around the world. But up to now, bridging global distances with quantum communication remains an outstanding challenge. A promising candidate to provide this link is via optical satellite communication. As space-to-ground communication is already well developed for classical applications, one can make use of the already existing technology for QKD, i.e. modern Laser Communication Terminals (LCTs) may be adapted for quantum communication. An important first step to achieve this goal is a precise characterization of the system and the channel with regard to their quantum noise behaviour.
european quantum electronics conference | 2017
Christian R. Müller; Kaushik P. Seshadreesan; Christian Peuntinger; Gerd Leuchs; Christoph Marquardt
Homodyne detection [1] is a typical continuous-variable measurement scheme, ubiquitously used in quantum optics and quantum information. A conventional homodyne detector performs a projective measurement onto a quadrature of the electromagnetic field mode, thus yielding a continuously distributed measurement outcome. The outcome distribution is the marginal of the Wigner function of the state. Homodyne detection also forms the basis of heterodyne, or “dual homodyne” detection, which corresponds to measuring the Q function of the state.
International Journal of Quantum Information | 2017
Yong Siah Teo; Christian R. Müller; Hyunseok Jeong; Zdeněk Hradil; Jaroslav Řeháček; L. L. Sanchez-Soto
Wigner and Husimi quasi-distributions, owing to their functional regularity, give the two archetypal and equivalent representations of all observable-parameters in continuous-variable quantum information. Balanced homodyning (HOM) and heterodyning (HET) that correspond to their associated sampling procedures, on the other hand, fare very differently concerning their state or parameter reconstruction accuracies. We present a general theory of a now-known fact that HET can be tomographically more powerful than balanced homodyning to many interesting classes of single-mode quantum states, and discuss the treatment for two-mode sources.
International Conference on Space Optics 2016 | 2017
Kevin Günthner; Imran Khan; Birgit Stiller; Ö Bayraktar; Daniel Tröndle; Herwig Zech; Gerd Leuchs; Dominique Elser; Christian R. Müller; Karen Saucke; F. Heine; Stefan Seel; Peter Greulich; Björn Gütlich; Ines Richter; Sabine Philipp-May; Ch. Marquardt; Nikos Karafolas; Bruno Cugny; Zoran Sodnik
Quantum optics [1] can be harnessed to implement cryptographic protocols that are verifiably immune against any conceivable attack [2]. Even quantum computers, that will break most current public keys [3, 4], cannot harm quantum encryption. Based on these intriguing quantum features, metropolitan quantum networks have been implemented around the world [5-15]. However, the long-haul link between metropolitan networks is currently missing [16]. Existing fiber infrastructure is not suitable for this purpose since classical telecom repeaters cannot relay quantum states [2]. Therefore, optical satellite-to-ground communication [17-22] lends itself to bridge intercontinental distances for quantum communication [23-40].
Archive | 2016
Gilles Laurent; Julien Fournier; Mike Hemberger; Christian R. Müller; Robert K. Naumann; Janie M. Ondracek; Lorenz Pammer; Samuel Reiter; Mark Shein-Idelson; Maria Antonietta Tosches; Tracy M. Yamawaki
Some 320 million years ago (MYA), the evolution of a protective membrane surrounding the embryo, the amnion, enabled vertebrates to develop outside water and thus invade new terrestrial niches. These amniotes were the ancestors of today’s mammals and sauropsids (reptiles and birds). Present-day reptiles are a diverse group of more than 10,000 species that comprise the sphenodon, lizards, snakes, turtles and crocodilians. Although turtles were once thought to be the most “primitive” among the reptiles, current genomic data point toward two major groupings: the Squamata (lizards and snakes) and a group comprising both the turtles and the Archosauria (dinosaurs and modern birds and crocodiles). Dinosaurs inhabited the Earth from the Triassic (230 MYA), at a time when the entire landmass formed a single Pangaea. Dinosaurs flourished from the beginning of the Jurassic to the mass extinction at the end of the Cretaceous (65 MYA), and birds are their only survivors. What people generally call reptiles is thus a group defined in part by exclusion: it gathers amniote species that are neither mammals nor birds, making the reptiles technically a paraphyletic grouping. Despite this, the so-defined reptiles share many evolutionary, anatomical, developmental, physiological (e.g., ectothermia), and functional features. It is thus reasonable to talk about a “reptilian brain.”