Analysis of Bell inequality violation in superconducting qubits
arXiv:0707.0036 · doi:10.1103/PhysRevB.77.104502
Abstract
We analyze conditions for violation of the Bell inequality in the Clauser-Horne-Shimony-Holt form, focusing on the Josephson phase qubits. We start the analysis with maximum violation in the ideal case, and then take into account the effects of the local measurement errors and decoherence. A special attention is paid to configurations of the qubit measurement directions in the pseudospin space lying within either horizontal or vertical planes; these configurations are optimal in certain cases. Besides local measurement errors and decoherence, we also discuss the effect of measurement crosstalk, which affects both the classical inequality and the quantum result. In particular, we propose a version of the Bell inequality which is insensitive to the crosstalk.
16 pages, 3 figures
References in corpus (23)
- Violation of Bell's inequality under strict Einstein locality conditions
- Violation of Bell inequalities by photons more than 10 km apart
- Quantum oscillations in two coupled charge qubits
- Approaching Unit Visibility for Control of a Superconducting Qubit with Dispersive Readout
- Orbital entanglement and violation of Bell inequalities in mesoscopic conductors
- Observation of quantum oscillations between a Josephson phase qubit and a microscopic resonator using fast readout
- Production and detection of entangled electron-hole pairs in a degenerate electron gas
- Detection loophole in asymmetric Bell experiments
- Experimental Bell Inequality Violation with an Atom and a Photon
- Minimum detection efficiency for a loophole-free atom-photon Bell experiment
- Parity meter for charge qubits: an efficient quantum entangler
- Dynamic generation of orbital quasiparticle entanglement in mesoscopic conductors
- Strict detector-efficiency bounds for n-site Clauser-Horne inequalities
- Testing Bell's Inequality with Ballistic Electrons in Semiconductors
- Macroscopic Einstein-Podolsky-Rosen pairs in superconducting circuits
- Why Two Qubits Are Special
- Testing Bell's inequality in constantly coupled Josephson circuits by effective single-qubit operations
- Entanglement in Mesoscopic Structures: Role of Projection
- Theory of measurement crosstalk in superconducting phase qubits
- Crossover of phase qubit dynamics in presence of negative-result weak measurement
- Inequalities that test locality in quantum mechanics
- Coherence of a Josephson phase qubit under partial-collapse measurement
- A method for reaching detection efficiencies necessary for optical loophole-free Bell experiments
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- Atomic physics and quantum optics using superconducting circuits
- Nonperturbative theory of weak pre- and post-selected measurements
- Proposal for generating and detecting multi-qubit GHZ states in circuit QED
- Device-Independent Randomness Generation in the Presence of Weak Cross-Talk
- Measurement crosstalk between two phase qubits coupled by a coplanar waveguide
- Bell inequality violation versus entanglement in presence of local decoherence
- Protocol for high fidelity readout in the photon blockade regime of circuit QED
- Optimized experimental settings for the best detection of quantum nonlocality
- Effects of decoherence and errors on Bell-inequality violation
- Bell inequalities under non-ideal conditions