Experimental implementation of a three qubit quantum game with corrupt source using nuclear magnetic resonance quantum information processor

Mitra, Avik; Sivapriya, K.; Kumar, Anil

doi:10.1016/j.jmr.2007.05.013

Cited by 30 publications

(28 citation statements)

References 23 publications

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“…3). This pulse sequence contains several elements namely: (i) the preparation of the pseudo pure state (PPS) [21], (ii) the process of initialization, (iii) the randomization operation using its unitary extension, (iv) extraction of the original quantum information from the ancilla by applying local unitary transformations and (v) finally the measurement (reconstruction of density matrices via tomography). These sequence of steps can be represented by schematic use of several U ij blocks (shown in light grey).…”

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confidence: 99%

Experimental Test of the Quantum No-Hiding Theorem

2011

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Linearity and unitarity are two fundamental tenets of quantum theory. Any consequence that follows from these must be respected in the quantum world. The no-cloning theorem [1] and the no-deleting theorem [2] are the consequences of the linearity and the unitarity. Together with the stronger no-cloning theorem they provide permanence to quantum information [3], thus, suggesting that in the quantum world information can neither be created nor be destroyed. In this sense quantum information is robust, but at the same time it is also fragile because any interaction with the environment may lead to loss of information. Recently, another fundamental theorem was proved, namely, the no-hiding theorem [4] that addresses precisely the issue of information loss. It says that if any physical process leads to bleaching of quantum information from the original system, then it must reside in the rest of the universe with no information being hidden in the correlation between these two subsystems. This has applications in quantum teleportation [5], state randomization [6], private quantum channels [7], thermalization [8] and black hole evaporation [9]. Here, we report experimental test of the no-hiding theorem with the technique of nuclear magnetic resonance (NMR). We use the quantum state randomization of a qubit as one example of the bleaching process and show that the missing information can be fully recovered up to local unitary transformations in the ancilla qubits. Since NMR offers a way to test fundamental predictions of quantum theory using coherent control of quantum mechanical nuclear spin states, our experiment is a step forward in this direction. * Deceased on her 27th birthday 12th Nov. 2009. The experimental work of this paper was completely carried out by the first author. We dedicate this paper to the memory of the brilliant soul of Ms. Jharana Rani Samal.

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confidence: 99%

Experimental Test of the Quantum No-Hiding Theorem

2011

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“…where the indices i, j = 1, 2, or 3 label the qubit, ν i is the chemical shift of the ith qubit in the rotating frame, J ij is the scalar coupling interaction strength, and I i z is z-component of the spin angular momentum operator of the i th qubit. The system was initialized in a pseudopure state (PPS), i.e., |000 , using the spatial averaging technique [31] with the density operator given by…”

Section: Pauli Operatorsmentioning

confidence: 99%

Experimental demonstration of fully contextual quantum correlations on an NMR quantum information processor

Singh

Dorai

et al. 2019

Phys. Rev. A

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The existence of contextuality in quantum mechanics is a fundamental departure from the classical description of the world. Currently, the quest to identify scenarios which cannot be more contextual than quantum theory is at the forefront of research in quantum contextuality. In this work, we experimentally test two inequalities, which are capable of revealing fully contextual quantum correlations, on a Hilbert space of dimension eight and four respectively, on an NMR quantum information processor. The projectors associated with the contextuality inequalities are first reformulated in terms of Pauli operators, which can be determined in an NMR experiment. We also analyze the behavior of each inequality under rotation of the underlying quantum state, which unitarily transforms it to another pure state.

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“…The system was initialized in the pseudopure (PPS) state i.e. |000 using the spatial averaging [43,44] with the density operator being…”

Section: Nmr Implementation Of Three Qubit Entanglement Detectiomentioning

confidence: 99%

Experimental classification of entanglement in arbitrary three-qubit pure states on an NMR quantum information processor

Singh

Dorai

et al. 2018

Phys. Rev. A

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We undertake experimental detection of the entanglement present in arbitrary three-qubit pure quantum states on an NMR quantum information processor. Measurements of only four observables suffice to experimentally differentiate between the six classes of states which are inequivalent under stochastic local operation and classical communication (SLOCC). The experimental realization is achieved by mapping the desired observables onto Pauli z-operators of a single qubit, which is directly amenable to measurement. The detection scheme is applied to known entangled states as well as to states randomly generated using a generic scheme that can construct all possible threequbit states. The results are substantiated via direct full quantum state tomography as well as via negativity calculations and the comparison suggests that the protocol is indeed successful in detecting tripartite entanglement without requiring any a priori information about the states.

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Experimental implementation of a three qubit quantum game with corrupt source using nuclear magnetic resonance quantum information processor

Cited by 30 publications

References 23 publications

Experimental Test of the Quantum No-Hiding Theorem

Experimental Test of the Quantum No-Hiding Theorem

Experimental demonstration of fully contextual quantum correlations on an NMR quantum information processor

Experimental classification of entanglement in arbitrary three-qubit pure states on an NMR quantum information processor

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