INRIA - Institut National de Recherche en Informatique et en Automatique

There is provided a method for distilling a magic state implemented by a quantum computer comprising a plurality of physical data cat qubits using an outer code, wherein the magic state is for a jπ/4 rotation about the Pauli X- or Z-axis where j is an integer selected from j ∈ {1,2,3,5,6,7}. The method comprises: (i) encoding three or more validation logical qubits with at least some of the data cat qubits using one or more classical phase-flip error-correcting code(s); (ii) encoding one or more output logical qubit(s) with at least some of the data cat qubits using one or more error-correcting code(s); (iii) preparing one or more distilled magic state(s) with the validation logical qubits and the one or more output logical qubit(s) using the outer code to respectively host each of the distilled magic state(s) in a different one of the output logical qubit(s), wherein the outer code is configured to have a logical gate corresponding to the jπ/4 rotation and/or -jπ/4 rotation which is transversal. Using the outer code comprises: (a) performing, for each of the validation logical qubits and output logical qubit(s), at least one single Pauli rotation or Pauli product rotation involving said logical qubit, wherein the rotation is a jπ4+l∗j∗π22π rotation with l being an integer, wherein each rotation is performed via: (I) gate teleportation of an initial magic state using a first injection logical qubit, the first injection logical qubit being encoded with at least some of the data cat qubits using a phase-flip repetition code; or (II) physically applying a single qubit gate corresponding to the jπ4+l∗j∗π22π rotation to one data cat qubit which simultaneously forms the logical X support for one or more of the validation and/or output logical qubit(s); and (b) performing a logical Z or X measurement on each of the validation logical qubits, and depending on the results of the logical measurements either: (I) repeating operations (i)-(iii); or (II) terminating the distilling and utilizing the distilled magic state(s). There is also provided a quantum computer comprising: a plurality of physical resonators; and a command circuit for sending control signals to the physical resonators to stabilize a plurality of physical data cat qubits; wherein the command circuit is further configured to perform the method of distilling the magic state.

A system for haptic spatialization introduces the notion of a haptic source, haptic medium and haptic listener. A haptic source is a virtual transmitter that is able to provide haptic information. A haptic medium is an object with haptic properties based on physical characteristics, to modulate the propagation of a haptic signal through the object. A haptic listener is a virtual sensor that captures haptic information. A haptic engine handles the workflow and interactions between these different elements of the system. More particularly, it determines how a haptic signal is propagated according to the spatial localization and the properties of the elements. In addition, the propagation depends on haptic layers that correspond to different contexts. Syntax elements describing the elements composing such system allow to create information representative of a scene comprising spatialized haptic effects. Such information can be provided to a rendering device in order to be played back accordingly.

Methods and devices enable an adaptive haptic experience that endows users with adjustments to their profile or to their physiological reactions. In such context, data representative of a haptic experience not only contains haptic data but also affective data. This additional data indicates the desired affective response of the user during the haptic experience. Two embodiments for adapting a haptic signal to provide consistency in users perceived affect to a haptic stimulus are proposed herein. In a first embodiment, the adaptation is based on an affective haptic profile that describes the user's preferred settings regarding haptic content and affect and comprises parameters allowing to adapt a haptic signal accordingly. In a second embodiment, the adaptation takes into account real time data extracted from users' physiological reactions, thus delivering a physiological closed loop control system.

A system for haptic spatialization introduces the notion of a haptic source, haptic object and haptic listener. A haptic source is a virtual transmitter that is able to provide haptic information. A haptic object is an object with haptic properties based on physical characteristics, to modulate the propagation of a haptic signal through the object. A haptic listener is a virtual sensor that captures haptic information. A haptic engine handles the workflow and interactions between these different elements of the system. More particularly, it determines how a haptic signal is propagated according to the spatial localization and the properties of the elements. Syntax elements describing the elements composing such system allow to create information representative of a scene comprising spatialized haptic effects. Such information can be provided to a rendering device in order to be played back accordingly.

The invention relates to a calculation accelerator (10) adapted to carry out calculations according to a first cryptosystem and a second cryptosystem, the first cryptosystem being a lattice-based cryptosystem and the second cryptosystem being a code-based cryptosystem, the calculation accelerator (10) comprising several calculation modules, each calculation module applying an operation on input signals to obtain an output signal, namely: - a first calculation module (M1) configurable to implement modular addition or carryless addition, - a second calculation module (M2) configurable to implement identity with relation to one of the input signals, modular subtraction, modular addition and carryless addition, - a third calculation module (M3) configurable to implement integer multiplication and carryless multiplication, and - a fourth calculation module (M4) configurable to implement identity with relation to one of the input signals; modular subtraction, modular addition and carryless addition.

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