Improving resilience of the Quantum Gravity Induced Entanglement of
Masses (QGEM) to decoherence using 3 superpositions
- URL: http://arxiv.org/abs/2110.14695v3
- Date: Tue, 15 Feb 2022 16:28:40 GMT
- Title: Improving resilience of the Quantum Gravity Induced Entanglement of
Masses (QGEM) to decoherence using 3 superpositions
- Authors: Martine Schut, Jules Tilly, Ryan J. Marshman, Sougato Bose and Anupam
Mazumdar
- Abstract summary: We introduce a third mass with an embedded qubit, so that there are now 3 qubits to witness the gravitationally generated entanglement.
The entanglement can be detected experimentally for the 2-qubit setup if the decoherence rate $gamma$ is $gamma 0.11 $ Hz.
We estimate that the 3-qubit setup would allow detecting the entanglement in the QGEM protocol at a $99.9%$ certainty with $O(104)-O(105)$ measurements.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Recently a protocol called quantum gravity induced entanglement of masses
(QGEM) that aims to test the quantum nature of gravity using the entanglement
of 2 qubits was proposed. The entanglement can arise only if the force between
the two spatially superposed masses is occurring via the exchange of a
mediating virtual graviton. In this paper, we examine a possible improvement of
the QGEM setup by introducing a third mass with an embedded qubit, so that
there are now 3 qubits to witness the gravitationally generated entanglement.
We compare the entanglement generation for different experimental setups with 2
and 3 qubits and find that a 3-qubit setup where the superpositions are
parallel to each other leads to the highest rate of entanglement generation
within $\tau = 5 $ s. We will show that the 3-qubit setup is more resilient to
the higher rate of decoherence. The entanglement can be detected experimentally
for the 2-qubit setup if the decoherence rate $\gamma$ is $\gamma < 0.11 $ Hz
compared to $\gamma < 0.16 $ Hz for the 3-qubit setup. However, the
introduction of an extra qubit means that more measurements are required to
characterize entanglement in an experiment. We conduct experimental simulations
and estimate that the 3-qubit setup would allow detecting the entanglement in
the QGEM protocol at a $99.9\%$ certainty with $O(10^4)-O(10^5)$ measurements
when $\gamma \in [0.1,0.15] $ Hz. Furthermore, we find that the number of
needed measurements can be reduced to $O(10^3)-O(10^5)$ if the measurement
schedule is optimised using joint Pauli basis measurements. For $\gamma > 0.06
$ Hz the 3-qubit setup is favourable compared to the 2-qubit setup in terms of
the minimum number of measurements needed to characterize the entanglement.
Thus, the proposed setup here provides a promising new avenue for implementing
the QGEM experiment.
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