Measuring Entangled Qutrits and Their Use for Quantum Bit Commitment

Abstract

We produce and holographically measure entangled qudits encoded in transverse spatial modes of single photons. With the novel use of a quantum state tomography method that only requires two-state superpositions, we achieve the most complete characterisation of entangled qutrits to date. Ideally, entangled qutrits provide better security than qubits in quantum bit-commitment: we model the sensitivity of this to mixture and show experimentally and theoretically that qutrits with even a small amount of decoherence cannot offer increased security over qubits.

Paper updated to match published version; 5 pages, 4 figures, images have been included at slightly lower quality for the archive

References in corpus (12)

• Mixed State Entanglement and Quantum Error Correction
• Entanglement of Orbital Angular Momentum States of Photons
• On the Measurement of Qubits
• Unconditionally secure quantum bit commitment is impossible
• Is Quantum Bit Commitment Really Possible?
• Non-maximally entangled states: production, characterization and utilization
• Qudit Quantum State Tomography
• Superpositions of the Orbital Angular Momentum for Applications in Quantum Experiments
• Degrees of concealment and bindingness in quantum bit commitment protocols
• Variational Characterisations of Separability and Entanglement of Formation
• Exploring Hilbert Space: accurate characterisation of quantum information
• Exceeding classical capacity limit in quantum optical channel

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