Long-range connectivity in a superconducting quantum processor using a ring resonator

  1. Sumeru Hazra,
  2. Anirban Bhattacharjee,
  3. Madhavi Chand,
  4. Kishor V. Salunkhe,
  5. Sriram Gopalakrishnan,
  6. Meghan P. Patankar,
  7. and R. Vijay
Qubit coherence and gate fidelity are typically considered the two most important metrics for characterizing a quantum processor. An equally important metric is inter-qubit connectivity
as it minimizes gate count and allows implementing algorithms efficiently with reduced error. However, inter-qubit connectivity in superconducting processors tends to be limited to nearest neighbour due to practical constraints in the physical realization. Here, we introduce a novel superconducting architecture that uses a ring resonator as a multi-path coupling element with the qubits uniformly distributed throughout its circumference. Our planar design provides significant enhancement in connectivity over state of the art superconducting processors without any additional fabrication complexity. We theoretically analyse the qubit connectivity and experimentally verify it in a device capable of supporting up to twelve qubits where each qubit can be connected to nine other qubits. Our concept is scalable, adaptable to other platforms and has the potential to significantly accelerate progress in quantum computing, annealing, simulations and error correction.

Engineering Cross Resonance Interaction in Multi-modal Quantum Circuits

  1. Sumeru Hazra,
  2. Kishor V. Salunkhe,
  3. Anirban Bhattacharjee,
  4. Gaurav Bothara,
  5. Suman Kundu,
  6. Tanay Roy,
  7. Meghan P. Patankar,
  8. and R. Vijay
Existing scalable superconducting quantum processors have only nearest-neighbor coupling. This leads to reduced circuit depth, requiring large series of gates to perform an arbitrary
unitary operation in such systems. Recently, multi-modal devices have been demonstrated as a promising candidate for small quantum processor units. Always on longitudinal coupling in such circuits leads to implementation of native high fidelity multi-qubit gates. We propose an architecture using such devices as building blocks for a highly connected larger quantum circuit. To demonstrate a quantum operation between such blocks, a standard transmon is coupled to the multi-modal circuit using a 3D bus cavity giving rise to small exchange interaction between the transmon and one of the modes. We study the cross resonance interaction in such systems and characterize the entangling operation as well as the unitary imperfections and cross-talk as a function of device parameters. Finally, we tune up the cross resonance drive to implement multi-qubit gates in this architecture.

Multiplexed readout of four qubits in 3D cQED architecture using broadband JPA

  1. Suman Kundu,
  2. Nicolas Gheeraert,
  3. Sumeru Hazra,
  4. Tanay Roy,
  5. Kishor V. Salunkhe,
  6. Meghan P. Patankar,
  7. and R. Vijay
We propose and demonstrate a frequency-multiplexed readout scheme in 3D cQED architecture. We use four transmon qubits coupled to individual rectangular cavities which are aperture-coupled
to a common rectangular waveguide feedline. A coaxial to waveguide transformer at the other end of the feedline allows one to launch and collect the multiplexed signal. The reflected readout signal is amplified by an impedance engineered broadband parametric amplifier with 380 MHz of bandwidth. This provides us high fidelity single-shot readout of multiple qubits using compact microwave circuitry, an efficient way for scaling up to more qubits in 3D cQED.

Multi-mode superconducting circuits for realizing strongly coupled multi-qubit processor units

  1. Tanay Roy,
  2. Madhavi Chand,
  3. Sumeru Hazra,
  4. Suman Kundu,
  5. Kedar Damle,
  6. and R. Vijay
Inter-qubit coupling and qubit connectivity in a processor are crucial for achieving high fidelity multi-qubit gates and efficient implementation of quantum algorithms. Typical superconducting
processors employ relatively weak transverse inter-qubit coupling which are activated via frequency tuning or microwave drives. Here, we propose a class of multi-mode superconducting circuits which realize multiple transmon qubits with all-to-all longitudinal coupling. These „artificial molecules“ directly implement a multi-dimensional Hilbert space that can be easily manipulated due to the always-on longitudinal coupling. We describe the basic technique to analyze such circuits, compute the relevant properties and discuss how to optimize them to create efficient small-scale quantum processors with universal programmability.

Implementation of pairwise longitudinal coupling in a three-qubit superconducting circuit

  1. Tanay Roy,
  2. Suman Kundu,
  3. Madhavi Chand,
  4. Sumeru Hazra,
  5. N. Nehra,
  6. R. Cosmic,
  7. A. Ranadive,
  8. Meghan P. Patankar,
  9. Kedar Damle,
  10. and R. Vijay
We present the „trimon“, a multi-mode superconducting circuit implementing three qubits with all-to-all longitudinal coupling. This always-on interaction enables simple
implementation of generalized controlled-NOT gates which form a universal set. Further, two of the three qubits are protected against Purcell decay while retaining measurability. We demonstrate high-fidelity state swapping operations between two qubits and characterize the coupling of all three qubits to a neighbouring transmon qubit. Our results offer a new paradigm for multi-qubit architecture with applications in quantum error correction, quantum simulations and quantum annealing.