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Scalable spin–photon entanglement by time-to-polarization conversion

MetadataDetails
Publication Date2020-01-28
Journalnpj Quantum Information
AuthorsRui Vasconcelos, Sarah Reisenbauer, C. L. Salter, Georg Wachter, Daniel Wirtitsch
InstitutionsUniversity of Vienna, Vienna Center for Quantum Science and Technology
Citations40
AnalysisFull AI Review Included

Technical Documentation & Analysis: Scalable Spin-Photon Entanglement

Section titled “Technical Documentation & Analysis: Scalable Spin-Photon Entanglement”

This research validates a scalable Time-to-Polarization Conversion (TPC) protocol for generating spin-photon entanglement using Nitrogen-Vacancy (NV) centers in diamond. The findings directly inform the material requirements for next-generation quantum communication and computing architectures.

  • Protocol Validation: Successful experimental demonstration of the TPC protocol using a single optical transition in an NV center, significantly relaxing the stringent requirements of previous cluster-state machine gun (CSMG) schemes.
  • High Fidelity Achieved: The system demonstrated high qubit initialization fidelity (97.9 ± 1.6%) and a lower bound entanglement fidelity of F ≥ 64.7 ± 1.3%.
  • Material Requirement: The experiment relied on high-quality, artificial Single-Crystal Diamond (SCD) with a specific {1, 1, 1} surface orientation for optimal NV axis alignment.
  • Fabrication Necessity: Focused-Ion-Beam (FIB) milling was used to create solid-immersion lenses (SILs) on the diamond surface, highlighting the need for ultra-smooth, high-purity substrates suitable for advanced micro-fabrication.
  • Scaling Limitation: The current system is limited by low Zero-Phonon Line (ZPL) photon collection efficiency (~2 x 10-5 pulse to click) and excited-state spin mixing, issues directly addressed by 6CCVD’s ultra-low strain, high-coherence SCD materials and custom integration services.
  • 6CCVD Value Proposition: We provide the necessary high-purity, low-strain SCD substrates, custom orientations, and integrated metalization required to replicate this work and scale the system using high-cooperativity optical resonators.

The following hard data points were extracted from the experimental realization of the TPC protocol:

ParameterValueUnitContext
Material SubstrateSingle-Crystal Diamond (SCD)N/AArtificial, natural isotopic abundance
Surface Orientation{1, 1, 1}N/AUsed for NV center alignment
Operating Temperature~4.5KClosed-cycle cryostat cooling
Resonant Laser Wavelength637.2nmUsed for optical $\pi$-pulses
Working Transition Detuning0.87GHzEnsures negligible cross-excitation
Qubit Initialization Fidelity97.9 ± 1.6%Electron spin subspace
Nuclear Polarization83.8 ± 1.9%Within the mI = -1 manifold
Entanglement Fidelity (Lower Bound)F ≥ 64.7 ± 1.3%Relative to ideal Bell-state
ZPL Efficiency (Pulse to Click)~2 x 10-5N/ALimited by decay into Phonon-Side Band (PSB)
Interferometer Propagation Delay262nsTime difference between fiber arms
Surface Coating110nmSiO2 layer to reduce Fresnel reflection

The experimental demonstration required precise material engineering and controlled quantum manipulation steps:

  1. Material Selection: Utilization of artificial, single-crystal diamond (SCD) with natural isotopic abundance, selected for its NV center properties and {1, 1, 1} surface orientation.
  2. Micro-Fabrication: Focused-Ion-Beam (FIB) milling was employed to machine solid-immersion lenses (SILs) over pre-allocated NV centers to improve photon collection efficiency.
  3. Surface Preparation: The diamond surface was coated with 110 nm of SiO2 to minimize Fresnel reflection losses and laser backscatter at the high-index interface.
  4. Spin Initialization: Iterative resonant optical pumping and nuclear spin selective microwave pulses were used to initialize the electron and nuclear spins into the high-fidelity state |ms = -1, mI = 0>.
  5. Entanglement Sequence: The core TPC protocol involved a sequence of microwave Ry($\pi$/2) rotation, a resonant optical $\pi$-pulse (a1), an intermediate microwave $\pi$-pulse, and a second optical $\pi$-pulse (a2).
  6. Time-to-Polarization Conversion: ZPL photons were routed into a polarization-maintaining Mach-Zehnder interferometer, where the 262 ns propagation delay matched the time between the two optical $\pi$-pulses, erasing path information and converting time-bin entanglement to polarization entanglement.
  7. Tomography: Partial spin-photon tomography was performed by measuring correlations in the $\sigma$z $\otimes$ $\sigma$z and $\sigma$x $\otimes$ $\sigma$x bases to quantify entanglement fidelity.

6CCVD is uniquely positioned to supply the high-quality MPCVD diamond required to replicate, optimize, and scale the TPC entanglement protocol for commercial and academic quantum applications.

To achieve the high coherence and low strain necessary for robust NV center operation and high fidelity, the following 6CCVD materials are recommended:

6CCVD MaterialSpecificationApplication Relevance
Optical Grade SCDUltra-low strain, high purity (N < 1 ppb)Essential for minimizing spin mixing in the excited state and maximizing coherence time, directly addressing a key limitation cited in the paper.
Custom SCD Substrates{1, 1, 1} Orientation, Thickness 0.1 µm - 500 µmRequired for aligning the NV axis perpendicular to the surface, crucial for efficient spin-photon coupling.
Substrates up to 10 mmHigh mechanical stabilityProvides robust mounting platforms for cryostat integration and subsequent FIB milling or optical resonator attachment.

The research highlights the need for precise material geometry and integrated components (e.g., bond wires for microwave delivery). 6CCVD offers comprehensive customization services to meet these demands:

  • Custom Dimensions and Orientation: We provide SCD plates and wafers up to 125 mm (PCD) and offer precise control over crystal orientation, including the required {1, 1, 1} surface.
  • Advanced Polishing: Our SCD substrates are polished to an industry-leading surface roughness of Ra < 1nm, which is critical for high-quality FIB milling of SILs and for integration with high-Q optical resonators (a known solution for improving ZPL efficiency).
  • Integrated Metalization: We offer in-house deposition of thin-film metals (Au, Pt, Pd, Ti, W, Cu) for creating integrated microwave delivery structures directly on the diamond surface, simplifying the experimental setup and improving microwave transfer fidelity.

The path to scalable quantum systems requires overcoming complex material-science challenges, such as minimizing strain and maximizing photon collection.

  • Strain Management: 6CCVD’s in-house PhD team specializes in material selection and growth recipes designed to minimize internal strain, a critical factor limiting the fidelity of NV center entanglement schemes.
  • Optical Enhancement Consultation: We assist researchers in selecting optimal diamond thickness and surface preparation for integrating external structures, such as high-cooperativity optical resonators, which are cited as a solution to drastically improve ZPL photon collection efficiency (currently 2 x 10-5).
  • Global Logistics: We ensure reliable global shipping (DDU default, DDP available) to deliver sensitive quantum materials directly to cryostat environments worldwide.

Call to Action: For custom specifications or material consultation regarding scalable spin-photon entanglement projects, visit 6ccvd.com or contact our engineering team directly.

View Original Abstract

Abstract The realization of quantum networks and quantum computers relies on the scalable generation of entanglement, for which spin-photon interfaces are strong candidates. Current proposals to produce entangled-photon states with such platforms place stringent requirements on the physical properties of the photon emitters, limiting the range and performance of suitable physical systems. We propose a scalable protocol, which significantly reduces the constraints on the emitter. We use only a single optical transition and an asymmetric polarizing interferometer. This device converts the entanglement from the experimentally robust time basis via a path degree of freedom into a polarization basis, where quantum logic operations can be performed. The fundamental unit of the proposed protocol is realized experimentally in this work, using a nitrogen-vacancy center in diamond. This classically assisted protocol greatly widens the set of physical systems suited for scalable entangled-photon generation and enables performance enhancement of existing platforms.