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View article: Compatibility of Binary Qubit Measurements
Compatibility of Binary Qubit Measurements Open
Deciding which sets of quantum measurements allow a simultaneous readout is a central problem in quantum measurement theory. The problem is relevant not only from the foundational perspective but also has direct applications in quantum cor…
View article: Correcting for finite statistics effects in a quantum steering experiment
Correcting for finite statistics effects in a quantum steering experiment Open
Verifying entanglement between parties is essential for creating secure quantum communication. However, finite statistics can lead to false positive outcomes in any tests for entanglement. Here, we introduce a one-sided device-independent …
View article: Binarization of multioutcome measurements in high-dimensional quantum correlation experiments
Binarization of multioutcome measurements in high-dimensional quantum correlation experiments Open
High-dimensional systems are an important frontier for photonic quantum correlation experiments. These correlation tests commonly prescribe measurements with many possible outcomes but they are often implemented through many individual bin…
View article: Certifying measurement incompatibility in prepare-and-measure and Bell scenarios
Certifying measurement incompatibility in prepare-and-measure and Bell scenarios Open
We consider the problem of certifying measurement incompatibility in a prepare-and-measure (PM) scenario. We present different families of sets of qubit measurements which are incompatible, but cannot lead to any quantum over classical adv…
View article: Certifying high-dimensional quantum channels
Certifying high-dimensional quantum channels Open
The use of high-dimensional systems for quantum communication opens interesting perspectives, such as increased information capacity and noise resilience. In this context, it is crucial to certify that a given quantum channel can reliably …
View article: Binarisation of multi-outcome measurements in high-dimensional quantum correlation experiments
Binarisation of multi-outcome measurements in high-dimensional quantum correlation experiments Open
High-dimensional systems are an important frontier for photonic quantum correlation experiments. These correlation tests commonly prescribe measurements with many possible outcomes but they are often implemented through many individual bin…
View article: Compressing continuous variable quantum measurements
Compressing continuous variable quantum measurements Open
We generalize the notion of joint measurability to continuous variable systems by extending a recently introduced compression algorithm of quantum measurements to this realm. The extension results in a property that asks for the minimal di…
View article: No-broadcasting characterizes operational contextuality
No-broadcasting characterizes operational contextuality Open
Operational contextuality forms a rapidly developing subfield of quantum information theory. However, the characterization of the quantum mechanical entities that fuel the phenomenon has remained unknown with many partial results existing.…
View article: Barycentric decomposition for quantum instruments
Barycentric decomposition for quantum instruments Open
We present a barycentric decomposition for quantum instruments whose output space is finite-dimensional and input space is separable. As a special case, we obtain a barycentric decomposition for channels between such spaces and for normali…
View article: Compressing continuous variable quantum measurements
Compressing continuous variable quantum measurements Open
We generalize the notion of joint measurability to continuous variable systems by extending a recently introduced compression algorithm of quantum measurements to this realm. The extension results in a property that asks for the minimal di…
View article: Quantum complementarity: A novel resource for unambiguous exclusion and encryption
Quantum complementarity: A novel resource for unambiguous exclusion and encryption Open
Complementarity is a phenomenon explaining several core features of quantum theory, such as the well-known uncertainty principle. Roughly speaking, two objects are said to be complementary if being certain about one of them necessarily for…
View article: Unlimited One-Way Steering
Unlimited One-Way Steering Open
This work explores the asymmetry of quantum steering in a setup using high-dimensional entanglement. We construct entangled states with the following properties: (i) one party (Bob) can never steer the state of the other party (Alice), con…
View article: Semi-device-independent certification of number of measurements
Semi-device-independent certification of number of measurements Open
We develop a method for semi-device-independent certification of number of measurements. We achieve this by testing whether Bob's steering equivalent observables (SEO) can be simulated by k measurements, which we do by testing whether they…
View article: Barycentric decomposition for quantum instruments
Barycentric decomposition for quantum instruments Open
We present a barycentric decomposition for quantum instruments whose output space is finite-dimensional and input space is separable. As a special case, we obtain a barycentric decomposition for channels between such spaces and for normali…
View article: Correcting for finite statistics effects in a quantum steering experiment
Correcting for finite statistics effects in a quantum steering experiment Open
Verifying entanglement between parties is essential for creating secure quantum communication. However, finite statistics can lead to false positive outcomes in any tests for entanglement. Here, we introduce a one-sided device-independent …
View article: Unlimited One-Way Steering
Unlimited One-Way Steering Open
This work explores the asymmetry of quantum steering in a setup using high-dimensional entanglement. We construct entangled states with the following properties: $(i)$ one party (Alice) can never steer the state of the other party (Bob), c…
View article: Naimark dilations of qubit POVMs and joint measurements
Naimark dilations of qubit POVMs and joint measurements Open
Measurement incompatibility is one of the cornerstones of quantum theory. This phenomenon appears in many forms, of which the concept of non-joint measurability has received considerable attention in the recent years. In order to character…
View article: Retrievability of information in quantum and realistic hidden variable theories
Retrievability of information in quantum and realistic hidden variable theories Open
We propose a generalisation of the Leggett-Garg conditions for macrorealistic behaviour. Our proposal relies on relaxing the postulate of non-invasive measurability with that of retrievability of information. This leads to a strictly broad…
View article: Quick Quantum Steering: Overcoming Loss and Noise with Qudits
Quick Quantum Steering: Overcoming Loss and Noise with Qudits Open
A primary requirement for a robust and unconditionally secure quantum network is the establishment of quantum nonlocal correlations over a realistic channel. While loophole-free tests of Bell nonlocality allow for entanglement certificatio…
View article: Simulability of High-Dimensional Quantum Measurements
Simulability of High-Dimensional Quantum Measurements Open
We investigate the compression of quantum information with respect to a given set M of high-dimensional measurements. This leads to a notion of simulability, where we demand that the statistics obtained from M and an arbitrary quantum stat…
View article: Naimark dilations of qubit POVMs and joint measurements
Naimark dilations of qubit POVMs and joint measurements Open
Measurement incompatibility is one of the cornerstones of quantum theory. This phenomenon appears in many forms, of which the concept of non-joint measurability has received considerable attention in the recent years. In order to character…
View article: Joint measurability in nonequilibrium quantum thermodynamics
Joint measurability in nonequilibrium quantum thermodynamics Open
In this Letter we investigate the concept of quantum work and its measurability from the viewpoint of quantum measurement theory. Very often, quantum work and fluctuation theorems are discussed in the framework of projective two-point meas…
View article: Quantifying the high-dimensionality of quantum devices
Quantifying the high-dimensionality of quantum devices Open
We introduce a measure of average dimensionality (or coherence) for high-dimensional quantum devices. This includes sets of quantum measurements, steering assemblages, and quantum channels. For measurements and channels, our measure corres…
View article: Equivalence between simulability of high-dimensional measurements and high-dimensional steering
Equivalence between simulability of high-dimensional measurements and high-dimensional steering Open
The effect of quantum steering arises from the judicious combination of an entangled state with a set of incompatible measurements. Recently, it was shown that this form of quantum correlations can be quantified in terms of a dimension, le…
View article: Simulability of high-dimensional quantum measurements
Simulability of high-dimensional quantum measurements Open
We investigate the compression of quantum information with respect to a given set $\mathcal{M}$ of high-dimensional measurements. This leads to a notion of simulability, where we demand that the statistics obtained from $\mathcal{M}$ and a…
View article: Noise-Robust and Loss-Tolerant Quantum Steering with Qudits
Noise-Robust and Loss-Tolerant Quantum Steering with Qudits Open
A primary requirement for a robust and unconditionally secure quantum network is the establishment of quantum nonlocal correlations over a realistic channel. While loophole-free tests of Bell nonlocality allow for entanglement certificatio…
View article: Operational Characterization of Infinite-Dimensional Quantum Resources
Operational Characterization of Infinite-Dimensional Quantum Resources Open
Recently, various non-classical properties of quantum states and channels have been characterized through an advantage they provide in specific quantum information tasks over their classical counterparts. Such advantage can be typically pr…
View article: Incompatible measurements in quantum information science
Incompatible measurements in quantum information science Open
Some measurements in quantum mechanics disturb each other. This has puzzled physicists since the formulation of the theory, but only in recent decades has the incompatibility of measurements been analyzed in depth and detail, using the not…
View article: Joint measurability in nonequilibrium quantum thermodynamics
Joint measurability in nonequilibrium quantum thermodynamics Open
In this Letter we investigate the concept of quantum work and its measurability from the viewpoint of quantum measurement theory. Very often, quantum work and fluctuation theorems are discussed in the framework of projective two-point meas…
View article: Network Quantum Steering
Network Quantum Steering Open
The development of large-scale quantum networks promises to bring a multitude of technological applications as well as shed light on foundational topics, such as quantum nonlocality. It is particularly interesting to consider scenarios whe…