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Papers by Samuel Portmann

Research paper thumbnail of PHYSICAL REVIEW A 86, 012104 (2012) Local content of all pure two-qubit states

The local (nonlocal) content in the sense of Elitzur, Popescu, and Rohrlich [ Phys. Lett. A 162 2... more The local (nonlocal) content in the sense of Elitzur, Popescu, and Rohrlich [ Phys. Lett. A 162 25 (1992)] is a natural measure for the locality (nonlocality) of quantum states. Its computation is in general difficult, even in low dimensions, and is one of the few open questions about pure two-qubit states. We present a complete solution to this long-lasting problem. PORTMANN, Samuel, BRANCIARD, Cyril, GISIN, Nicolas. Local content of all pure two-qubit states. Physical Review. A, 2012, vol. 86, no. 1, p. 012104-1/9

Research paper thumbnail of Classical Simulation of Entanglement Swapping with Bounded Communication

Physical Review Letters, 2012

Entanglement appears under two different forms in quantum theory, namely as a property of states ... more Entanglement appears under two different forms in quantum theory, namely as a property of states of joint systems and as a property of measurement eigenstates in joint measurements. By combining these two aspects of entanglement, it is possible to generate nonlocality between particles that never interacted, using the protocol of entanglement swapping. We show that even in the more constraining bilocal scenario where distant sources of particles are assumed to be independent, i.e. to share no prior randomness, entanglement swapping can be simulated classically with bounded communication, using only 9 bits in total. Our result thus provides an upper bound on the nonlocality of the entanglement swapping process.

Research paper thumbnail of Local content of all pure two-qubit states

Physical Review A, 2012

The local (nonlocal) content in the sense of Elitzur, Popescu, and Rohrlich [Phys. Lett. A 162, 2... more The local (nonlocal) content in the sense of Elitzur, Popescu, and Rohrlich [Phys. Lett. A 162, 25 (1992)] is a natural measure for the locality (nonlocality) of quantum states. Its computation is in general difficult, even in low dimensions, and is one of the few open questions about pure two-qubit states. We present a complete solution to this long-lasting problem.

Research paper thumbnail of Minimal Assumption Derivation of a Bell-type Inequality

The British Journal for the Philosophy of Science, 2005

John Bell showed that a big class of local hidden-variable models stands in conflict with quantum... more John Bell showed that a big class of local hidden-variable models stands in conflict with quantum mechanics and experiment. Recently, there were suggestions that empirically adequate hidden-variable models might exist which presuppose a weaker notion of local causality. We will show that a Bell-type inequality can be derived also from these weaker assumptions. 1 Introduction 2 The EPR-Bohm experiment 3 Local causality 4 Bell's inequality from separate common causes 4.1 A weak screening-off principle 4.2 Perfect correlation and 'determinism' 4.3 A minimal theory for spins 4.4 No conspiracy 5 Discussion

Research paper thumbnail of Minimal assumption derivation of a weak Clauser-Horne inequality

Studies In History and Philosophy of Science …, 2007

According to Bell's theorem a large class of hidden-variable models obeying Bell's notion of loca... more According to Bell's theorem a large class of hidden-variable models obeying Bell's notion of local causality conflict with the predictions of quantum mechanics. Recently, a Bell-type theorem has been proven using a weaker notion of local causality, yet assuming the existence of perfectly correlated event types. Here we present a similar Bell-type theorem without this latter assumption. The derived inequality differs from the Clauser-Horne inequality by some small correction terms, which render it less constraining.

Research paper thumbnail of PHYSICAL REVIEW A 86, 012104 (2012) Local content of all pure two-qubit states

The local (nonlocal) content in the sense of Elitzur, Popescu, and Rohrlich [ Phys. Lett. A 162 2... more The local (nonlocal) content in the sense of Elitzur, Popescu, and Rohrlich [ Phys. Lett. A 162 25 (1992)] is a natural measure for the locality (nonlocality) of quantum states. Its computation is in general difficult, even in low dimensions, and is one of the few open questions about pure two-qubit states. We present a complete solution to this long-lasting problem. PORTMANN, Samuel, BRANCIARD, Cyril, GISIN, Nicolas. Local content of all pure two-qubit states. Physical Review. A, 2012, vol. 86, no. 1, p. 012104-1/9

Research paper thumbnail of Classical Simulation of Entanglement Swapping with Bounded Communication

Physical Review Letters, 2012

Entanglement appears under two different forms in quantum theory, namely as a property of states ... more Entanglement appears under two different forms in quantum theory, namely as a property of states of joint systems and as a property of measurement eigenstates in joint measurements. By combining these two aspects of entanglement, it is possible to generate nonlocality between particles that never interacted, using the protocol of entanglement swapping. We show that even in the more constraining bilocal scenario where distant sources of particles are assumed to be independent, i.e. to share no prior randomness, entanglement swapping can be simulated classically with bounded communication, using only 9 bits in total. Our result thus provides an upper bound on the nonlocality of the entanglement swapping process.

Research paper thumbnail of Local content of all pure two-qubit states

Physical Review A, 2012

The local (nonlocal) content in the sense of Elitzur, Popescu, and Rohrlich [Phys. Lett. A 162, 2... more The local (nonlocal) content in the sense of Elitzur, Popescu, and Rohrlich [Phys. Lett. A 162, 25 (1992)] is a natural measure for the locality (nonlocality) of quantum states. Its computation is in general difficult, even in low dimensions, and is one of the few open questions about pure two-qubit states. We present a complete solution to this long-lasting problem.

Research paper thumbnail of Minimal Assumption Derivation of a Bell-type Inequality

The British Journal for the Philosophy of Science, 2005

John Bell showed that a big class of local hidden-variable models stands in conflict with quantum... more John Bell showed that a big class of local hidden-variable models stands in conflict with quantum mechanics and experiment. Recently, there were suggestions that empirically adequate hidden-variable models might exist which presuppose a weaker notion of local causality. We will show that a Bell-type inequality can be derived also from these weaker assumptions. 1 Introduction 2 The EPR-Bohm experiment 3 Local causality 4 Bell's inequality from separate common causes 4.1 A weak screening-off principle 4.2 Perfect correlation and 'determinism' 4.3 A minimal theory for spins 4.4 No conspiracy 5 Discussion

Research paper thumbnail of Minimal assumption derivation of a weak Clauser-Horne inequality

Studies In History and Philosophy of Science …, 2007

According to Bell's theorem a large class of hidden-variable models obeying Bell's notion of loca... more According to Bell's theorem a large class of hidden-variable models obeying Bell's notion of local causality conflict with the predictions of quantum mechanics. Recently, a Bell-type theorem has been proven using a weaker notion of local causality, yet assuming the existence of perfectly correlated event types. Here we present a similar Bell-type theorem without this latter assumption. The derived inequality differs from the Clauser-Horne inequality by some small correction terms, which render it less constraining.