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We study characteristics of superpositions and entanglement of thermal statesat high temperatures and discuss their applications to quantum informationprocessing. We introduce thermal-state qubits and thermal-Bell states, whichare a generalization of pure-state qubits and Bell states to thermal mixtures.A scheme is then presented to discriminate between the four thermal-Bell stateswithout photon number resolving detection but with Kerr nonlinear interactionsand two single-photon detectors. This enables one to perform quantumteleportation and gate operations for quantum computation with thermal-statequbits.

Quantum superpositions and entanglement of thermal states at high temperatures and their applications to quantum information processing