Entanglement-interference complementarity and experimental demonstration in a superconducting circuit

  1. Xin-Jie Huang,
  2. Pei-Rong Han,
  3. Wen Ning,
  4. Shou-Ban Yang,
  5. Xin Zhu,
  6. Jia-Hao Lü,
  7. Ri-Hua Zheng,
  8. Hekang Li,
  9. Zhen-Biao Yang,
  10. Qi-Cheng Wu,
  11. Kai Xu,
  12. Chui-Ping Yang,
  13. Dongning Zheng,
  14. Heng Fan,
  15. and Shi-Biao Zheng
Quantum entanglement between an interfering particle and a detector for acquiring the which-path information plays a central role for enforcing Bohr’s complementary principle,
but the quantitative relation between this entanglement and the fringe visibility remains untouched upon. Here we find an equality for quantifying this relation. Our equality characterizes how well the interference pattern can be preserved when an interfering particle, initially carrying a definite amount of coherence, is entangled with a which-path detector to a certain degree. This equality provides a connection between entanglement and interference in the unified framework of coherence, revealing the quantitative entanglement-interference complementarity for the first time. We experimentally demonstrate this relation with a superconducting circuit, where a resonator serves as a which-path detector for an interfering qubit. The results demonstrate quantum entanglement is the mechanism for prohibiting any detector from acquiring which-path information without deteriorating the interference pattern, which was not confirmed previously.

Demonstration of dynamical control of three-level open systems with a superconducting qutrit

  1. Ri-Hua Zheng,
  2. Wen Ning,
  3. Zhen-Biao Yang,
  4. Yan Xia,
  5. and Shi-Biao Zheng
We propose a method for the dynamical control in three-level open systems and realize it in the experiment with a superconducting qutrit. Our work demonstrates that in the Markovian
environment for a relatively long time (3 us), the systemic populations or coherence can still strictly follow the preset evolution paths. This is the first experiment for precisely controlling the Markovian dynamics of three-level open systems, providing a solid foundation for the future realization of dynamical control in multiple open systems. An instant application of the techniques demonstrated in this experiment is to stabilize the energy of quantum batteries.

Demonstration of a non-Abelian geometric controlled-Not gate in a superconducting circuit

  1. Kai Xu,
  2. Wen Ning,
  3. Xin-Jie Huang,
  4. Pei-Rong Han,
  5. Hekang Li,
  6. Zhen-Biao Yang,
  7. Dongning Zheng,
  8. Heng Fan,
  9. and Shi-Biao Zheng
Holonomies, arising from non-Abelian geometric transformations of quantum states in Hilbert space, offer a promising way for quantum computation. The non-community of these holonomies
renders them suitable for realization of a universal set of quantum logic gates, while the global geometric feature may result in some noise-resilient advantages. Here we report on the first on-chip realization of the non-Abelian geometric controlled-Not gate, which is a buidling block for constructing a holonomic quantum computer. The conditional dynamics is achieved in an all-to-all connected architecture involving multiple frequency-tunable superconducting qubits controllably coupled to a resonator; a holonomic gate between any two qubits can be implemented by tuning their frequencies on resonance with the resonator and applying a two-tone drive to one of them. The combination of the present gate and previously demonstrated holonomic single-qubit operations represents an all-holonomic approach to scalable quantum computation on a superconducting platform.

Deterministic entanglement swapping in a superconducting circuit

  1. Wen Ning,
  2. Xin-Jie Huang,
  3. Pei-Rong Han,
  4. Hekang Li,
  5. Hui Deng,
  6. Zhen-Biao Yang,
  7. Zhi-Rong Zhong,
  8. Yan Xia,
  9. Kai Xu,
  10. Dongning Zheng,
  11. and Shi-Biao Zheng
Entanglement swapping allows two particles that have never been coupled directly or indirectly to be nonlocally correlated. Besides fundamental interest, this procedure has applications
in complex entanglement manipulation and quantum communication. Entanglement swapping for qubits has been demonstrated in optical experiments, but where the process was conditional on detection of preset photon coincidence events, which succeeded with only a small probability. Here we report an unconditional entanglement swapping experiment with superconducting qubits. Using controllable qubit-qubit couplings mediated by a resonator, we prepare two highly entangled qubit pairs and then perform the Bell state measurement on two qubits coming from different entangled pairs, projecting the remaining two qubits to one of four Bell states. The measured concurrences for these Bell states are above 0.75,demonstrating the quantum nature of entanglement swapping. With this setup, we further demonstrate delayed-choice entanglement swapping, confirming whether two qubits behaved as in an entangled state or as in a separate state is determined by a later choice of the type of measurement on their partners. This is the first demonstration of entanglement-separability duality in a deterministic way, closing the detection loophole the previous experiments suffer from.

Resonator-Assisted Quantum Bath Engineering of a Flux Qubit

  1. Xian-Peng Zhang,
  2. Li-Tuo Shen,
  3. Zhang-Qi Yin,
  4. Huai-Zhi Wu,
  5. and Zhen-Biao Yang
We demonstrate quantum bath engineering for preparation of any orbital state with controllable phase factor of a superconducting flux qubit assisted by a microwave coplanar waveguide
resonator. We have investigated the polarization efficiency of the arbitrary direction of the pseudo angular momentum space, and obtained an effective Rabi frequency by using the convergence condition of Markovian master equation. The processes of polarization can be implemented effectively in a dissipative environment created by resonator photon decay when the spectrum of the microwave resonator matches with the specially tailored Rabi and resonant frequencies of the drive. Our calculations indicate that state-preparation fidelities in excess of 99.9\% and the required time on the order of magnitude of microsecond are in principle possible for experimentally reasonable sample parameters. Furthermore, our proposal is available to generalize to any other kinds of spin-based qubits.