Experimental demonstration of the Bell-type inequalities for four qubit Dicke state using IBM Quantum Processing Units

• URL: http://arxiv.org/abs/2410.20241v2
• Date: Mon, 05 May 2025 18:49:24 GMT
• Title: Experimental demonstration of the Bell-type inequalities for four qubit Dicke state using IBM Quantum Processing Units
• Authors: Tomis Prajapati, Harsh Mehta, Shreya Banerjee, Prasanta K. Panigrahi, V. Narayanan,
• Abstract summary: We theoretically and experimentally investigate the violation of Bell-type inequalities using two- and four-qubit Dicke states on IBM Quantum Processing Units (QPUs)<n>For the two-qubit case, we demonstrate clear violations of the CHSH inequality, with the highest observed Bell parameter reaching $2.821 pm 0.0019$ using M3 error mitigation.<n>In the four-qubit case, we employ a Bell-type inequality tailored for Dicke states and achieve a maximum violation of $2.607 pm 0.029$ without the need for additional mitigation.
• Score: 5.361677484495031
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Violation of the Bell-type inequalities is necessary to confirm the existence of nonlocality in nonclassical (entangled) states. We have designed a customized operator which is made of the sum of the Pauli matrices ($\sigma_x$, $\sigma_y$, and $\sigma_z$). We theoretically and experimentally investigate the violation of Bell-type inequalities using two- and four-qubit Dicke states on IBM Quantum Processing Units (QPUs). We compare two different state preparation methods for the four-qubit Dicke state -- gate-based and statevector-based -- and evaluate their performance on two IBM QPUs, \texttt{ibm\_kyiv} and \texttt{ibm\_sherbrook}. For the two-qubit case, we demonstrate clear violations of the CHSH inequality, with the highest observed Bell parameter reaching $2.821 \pm 0.0019$ using M3 error mitigation, which is within $0.7\sigma$ of the theoretical maximum $2\sqrt{2}$. In the four-qubit case, we employ a Bell-type inequality tailored for Dicke states and achieve a maximum violation of $2.607 \pm 0.029$ without the need for additional mitigation when using the statevector-based method. Our results reveal that advanced error mitigation techniques significantly enhance the observed violations in the gate-based method, while the statevector-based approach inherently yields more robust states with lower noise. This study highlights the critical role of state preparation and mitigation techniques in probing fundamental quantum correlations on near-term quantum hardware.

Related papers

• Evolution of Entanglement Witness of Dicke State under Noise and Error Mitigation [5.361677484495031]
  Entanglement witnesses provide a widely used and experimentally accessible approach for detecting genuinely multipartite entangled states.<n>A negative expectation value of the witness operator serves as a sufficient condition for confirming genuine multipartite entanglement.<n>We show the behavior of the EW constructed under the assumption of Markovian and non-Markovian amplitude damping and depolarizing noises.
  arXiv  Detail & Related papers  (2025-07-08T11:14:30Z)
• Efficient benchmarking of logical magic state [8.565601028339385]
  We show that benchmarking schemes measuring one copy of the magic state per round requires $Omega (1/epsilon2)$ samples for single-qubit magic states.<n>We propose two approaches to overcome this limitation: (i) Bell measurements on two copies of the twirled state and (ii) single-copy schemes leveraging twirled multi-qubit magic states.
  arXiv  Detail & Related papers  (2025-05-14T18:00:04Z)
• Towards Necessary and sufficient state condition for violation of a multi-settings Bell inequality [0.0]
  We develop a Horodecki-like criterion based on the state parameters of arbitrary two-qudit states to violate a two-outcome Bell inequality. While the proposed criterion is sufficient to violate the Bell inequality, it becomes necessary as well for the following cases.
  arXiv  Detail & Related papers  (2024-08-19T18:45:07Z)
• Towards large-scale quantum optimization solvers with few qubits [59.63282173947468]
  We introduce a variational quantum solver for optimizations over $m=mathcalO(nk)$ binary variables using only $n$ qubits, with tunable $k>1$. We analytically prove that the specific qubit-efficient encoding brings in a super-polynomial mitigation of barren plateaus as a built-in feature.
  arXiv  Detail & Related papers  (2024-01-17T18:59:38Z)
• Towards the "puzzle" of Chromium dimer Cr$_2$: predicting the Born-Oppenheimer rovibrational spectrum [44.99833362998488]
  This paper calculates the potential energy curve for the state $X1Sigma+$ of the Cr$$$ dimer. It is found for the first time for the whole range of internuclear distances $R$.
  arXiv  Detail & Related papers  (2024-01-06T17:00:12Z)
• $\mathcal{PT}$-symmetric mapping of three states and its implementation on a cloud quantum processor [0.9599644507730107]
  We develop a new $mathcalPT$-symmetric approach for mapping $N = 3$ pure qubit states.<n>Our algorithm has the same error rate for the attack on the three-state QKD protocol as the conventional minimum error, maximum confidence, and maximum mutual information strategies.<n>Our work opens new pathways for applying $mathcalPT$ symmetry in quantum communications, computing, and cryptography.
  arXiv  Detail & Related papers  (2023-12-27T18:51:33Z)
• Entanglement and Bell inequalities violation in $H\to ZZ$ with anomalous coupling [44.99833362998488]
  We discuss entanglement and violation of Bell-type inequalities for a system of two $Z$ bosons produced in Higgs decays. We find that a $ZZ$ state is entangled and violates the inequality for all values of the pair (anomalous) coupling constant.
  arXiv  Detail & Related papers  (2023-07-25T13:44:31Z)
• Observing super-quantum correlations across the exceptional point in a single, two-level trapped ion [48.7576911714538]
  In two-level quantum systems - qubits - unitary dynamics theoretically limit these quantum correlations to $2qrt2$ or 1.5 respectively. Here, using a dissipative, trapped $40$Ca$+$ ion governed by a two-level, non-Hermitian Hamiltonian, we observe correlation values up to 1.703(4) for the Leggett-Garg parameter $K_3$. These excesses occur across the exceptional point of the parity-time symmetric Hamiltonian responsible for the qubit's non-unitary, coherent dynamics.
  arXiv  Detail & Related papers  (2023-04-24T19:44:41Z)
• Tight Bell inequalities from polytope slices [0.0]
  We derive new tight bipartite Bell inequalities for various scenarios. We identify scenarios which perform better in terms of visibility, resistance to noise, or both, when compared to CHSH.
  arXiv  Detail & Related papers  (2022-12-06T18:35:51Z)
• Coherent dynamics in a five-level atomic system [62.997667081978825]
  coherent control of multi-partite quantum systems is one of the central prerequisites in quantum information processing. Laser-cooled neon atoms in the metastable state of state $1s2 2s2 2p5 3s$ are prepared. Coherence properties of the prepared states are studied using Ramsey and spin echo measurements.
  arXiv  Detail & Related papers  (2022-10-21T11:44:15Z)
• Bell inequality violations with random mutually unbiased bases [0.0]
  We investigate the problem of exhibiting Bell nonlocality for a two-qudit entangled pure state using a randomly chosen set of mutually unbiased bases. We find that even if we employ only two-setting Bell inequalities, we find a significant chance of obtaining a Bell violation if the two parties are individually allowed to measure a sufficient number of MUBs.
  arXiv  Detail & Related papers  (2022-05-09T04:51:30Z)
• Efficient Bipartite Entanglement Detection Scheme with a Quantum Adversarial Solver [89.80359585967642]
  Proposal reformulates the bipartite entanglement detection as a two-player zero-sum game completed by parameterized quantum circuits. We experimentally implement our protocol on a linear optical network and exhibit its effectiveness to accomplish the bipartite entanglement detection for 5-qubit quantum pure states and 2-qubit quantum mixed states.
  arXiv  Detail & Related papers  (2022-03-15T09:46:45Z)
• Why Should I Trust You, Bellman? The Bellman Error is a Poor Replacement for Value Error [83.10489974736404]
  We study the use of the Bellman equation as a surrogate objective for value prediction accuracy. We find that the Bellman error is a poor proxy for the accuracy of the value function.
  arXiv  Detail & Related papers  (2022-01-28T21:03:59Z)
• Average-case Speedup for Product Formulas [69.68937033275746]
  Product formulas, or Trotterization, are the oldest and still remain an appealing method to simulate quantum systems. We prove that the Trotter error exhibits a qualitatively better scaling for the vast majority of input states. Our results open doors to the study of quantum algorithms in the average case.
  arXiv  Detail & Related papers  (2021-11-09T18:49:48Z)
• Realization of arbitrary doubly-controlled quantum phase gates [62.997667081978825]
  We introduce a high-fidelity gate set inspired by a proposal for near-term quantum advantage in optimization problems. By orchestrating coherent, multi-level control over three transmon qutrits, we synthesize a family of deterministic, continuous-angle quantum phase gates acting in the natural three-qubit computational basis.
  arXiv  Detail & Related papers  (2021-08-03T17:49:09Z)
• Stochastic behavior of outcome of Schur-Weyl duality measurement [45.41082277680607]
  We focus on the measurement defined by the decomposition based on Schur-Weyl duality on $n$ qubits. We derive various types of distribution including a kind of central limit when $n$ goes to infinity.
  arXiv  Detail & Related papers  (2021-04-26T15:03:08Z)
• Bounding the detection efficiency threshold in Bell tests using multiple copies of the maximally entangled two-qubit state carried by a single pair of particles [0.0]
  We investigate the critical efficiency of detectors to observe Bell nonlocality using multiple copies of the maximally entangled two-qubit state carried by a single pair of particles. We show analytically that the symmetric detection efficiency threshold decays exponentially with the number of copies of the two-qubit state.
  arXiv  Detail & Related papers  (2021-03-18T17:48:08Z)
• Verification of phased Dicke states [2.4173125243170377]
  Dicke states are examples of quantum states with genuine multipartite entanglement. Phased Dicke states are a generalization of Dicke states and include antisymmetric basis states. We propose practical and efficient protocols for verifying phased Dicke states.
  arXiv  Detail & Related papers  (2020-04-15T04:09:56Z)
• Quantum Gram-Schmidt Processes and Their Application to Efficient State Read-out for Quantum Algorithms [87.04438831673063]
  We present an efficient read-out protocol that yields the classical vector form of the generated state. Our protocol suits the case that the output state lies in the row space of the input matrix. One of our technical tools is an efficient quantum algorithm for performing the Gram-Schmidt orthonormal procedure.
  arXiv  Detail & Related papers  (2020-04-14T11:05:26Z)
• Learning Near Optimal Policies with Low Inherent Bellman Error [115.16037976819331]
  We study the exploration problem with approximate linear action-value functions in episodic reinforcement learning. We show that exploration is possible using only emphbatch assumptions with an algorithm that achieves the optimal statistical rate for the setting we consider.
  arXiv  Detail & Related papers  (2020-02-29T02:02:40Z)
• Quantum Algorithms for Simulating the Lattice Schwinger Model [63.18141027763459]
  We give scalable, explicit digital quantum algorithms to simulate the lattice Schwinger model in both NISQ and fault-tolerant settings. In lattice units, we find a Schwinger model on $N/2$ physical sites with coupling constant $x-1/2$ and electric field cutoff $x-1/2Lambda$. We estimate observables which we cost in both the NISQ and fault-tolerant settings by assuming a simple target observable---the mean pair density.
  arXiv  Detail & Related papers  (2020-02-25T19:18:36Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.