Measuring the parity of an $N$-qubit state

Abstract

We present a scheme for a projective measurement of the parity operator $P_z={\prod }_{i=1}^N{\sigma }_z^{(i)}$ of $N$-qubits. Our protocol uses a single ancillary qubit, or a probe qubit, and involves manipulations of the total spin of the $N$ qubits without requiring individual addressing. We illustrate our protocol in terms of an experimental implementation with atomic ions in a two-zone linear Paul trap, and further discuss its extensions to several more general cases.

4 pages, 2 figures

References in corpus (13)

• Experimental quantum teleportation
• Quantum-enhanced measurements: beating the standard quantum limit
• Persistent entanglement in arrays of interacting particles
• A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
• Multi-particle entanglement of hot trapped ions
• Super-resolving phase measurements with a multi-photon entangled state
• Quantum Teleportation with a Complete Bell State Measurement
• Experimental Demonstration of Five-photon Entanglement and Open-destination Teleportation
• Quantum Manipulations of Small Josephson Junctions
• Quantum error-correcting codes associated with graphs
• Quantum computation based on d-level cluster states
• Geometric quantum computation and multi-qubit entanglement with superconducting charge qubits inside a cavity
• Creating maximally entangled atomic states in a Bose-Einstein condensate

Cited by in corpus (8)

• The Parity Operator: applications in quantum metrology
• Identification and Distance Measures of Measurement Apparatus
• $\mathcal{P}\mathcal{T}$-symmetric slowing-down of decoherence
• Use of global interactions in efficient quantum circuit constructions
• Signal processing techniques for efficient compilation of controlled rotations in trapped ions
• Efficient eigenvalue determination for arbitrary Pauli products based on generalized spin-spin interactions
• Constant-depth circuits for Boolean functions and quantum memory devices using multi-qubit gates
• Quantum Probes Reduce Measurements: Application to Distributed Grover Algorithm