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Support vector machines with quantum state discrimination
Full text linkWe analyze possible connections between quantum-inspired classifications and support vector machines. Quantum state discrimination and optimal quantum measurement are useful tools for classification problems. In order to use these tools, feature vectors have to be encoded in quantum states represented by density operators. Classification algorithms inspired by quantum state discrimination and implemented on classic computers have been recently proposed. We focus on the implementation of a known quantum-inspired classifier based on Helstrom state discrimination showing its connection with support vector machines and how to make the classification more efficient in terms of space and time acting on quantum encoding. In some cases, traditional methods provide better results. Moreover, we discuss the quantum-inspired nearest mean classification
Quantum-Inspired Classification Based on Voronoi Tessellation and Pretty-Good Measurements
Full text linkIn quantum machine learning, feature vectors are encoded into quantum states. Measurements for the discrimination of states are useful tools for classification problems. Classification algorithms inspired by quantum state discrimination have recently been implemented on classical computers. We present a local approach combining Vonoroi-type tessellation of a training set with pretty-good measurements for quantum state discrimination
Quantum approach to epistemic semantics
No full textQuantum information has suggested new forms of quantum logic, called quantum computational logics, where meanings of sentences are represented by pieces of quantum information (generally, density operators of some Hilbert spaces), which can be stored and transmitted by means of quantum particles. This approach can be applied to a semantic characterization of epistemic logical operations, which may occur in sentences like "At time Bob knows that at time Alice knows that the spin-value is up". Each epistemic agent (say, Alice, Bob,...) has a characteristic truth perspective, corresponding to a particular orthonormal basis of the Hilbert space . From a physical point of view, a truth perspective can be associated with an apparatus that allows one to measure a given observable. An important feature that characterizes the knowledge of any agent is the amount of information that is accessible to him/her (technically, a special set of density operators, which also represents the internal memory of the agent in question). One can prove that interesting epistemic operations are special examples of quantum channels, which generally are not unitary. The act of knowing may involve some intrinsic irreversibility due to possible measurement procedures or to a loss of information about the environment.We also illustrate some relativistic-like effects that arise in the behavior of epistemic agents
Fuzzy Type Representation of the Fredkin Gate in Quantum Computation with Mixed States
No full textIn this work, we introduce a fuzzy type representation of a quantum version of the Fredkin gate in the framework of quantum computation with mixed states
Reversibility and irreversibility in quantum computation and in quantum computational logics
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