High-precision time synchronization is a fundamental requirement for quantum networks. We simulate a global time distribution network by using quantum clock synchronization – sharing entangled photons between satellite-ground station pairs. This provides sub-nanosecond to picosecond level precision over intercontinental scales (better than GPS).
High-precision time synchronization is a fundamental requirement for quantum networks. We simulate a global time distribution network by using quantum clock synchronization – sharing entangled photons between satellite-ground station pairs. This provides sub-nanosecond to picosecond level precision over intercontinental scales (better than GPS).
We propose a satellite-based scheme to perform clock synchronization between ground stations spread across the globe using quantum resources. We refer to this as a quantum clock synchronization (QCS) network. Through detailed numerical simulations, we assess the feasibility and capabilities of a near-term implementation of this scheme. We consider a small constellation of satellites equipped only with modest resources. These include quantum devices such as spontaneous parametric down conversion sources, avalanche photodetectors, and moderately stable on-board clocks such as chip-scale atomic clocks. In our simulations, the various performance parameters describing the hardware have been chosen such that they are either already commercially available or require only moderate advances. We conclude that with such a scheme, establishing a global network of ground-based clocks synchronized to subnanosecond level (up to a few picoseconds) of precision would be feasible. Such QCS satellite constellations would form the infrastructure for a future quantum network, able to serve as a globally accessible entanglement resource. At the same time, our clock synchronization protocol provides the subnanosecond level synchronization required for many quantum networking protocols, and thus can be seen as adding an extra layer of utility to quantum technologies in the space domain designed for other purposes.
Accurate timekeeping is essential for scientific and technological advancements, particularly in areas of communication, networking, navigation, and high precision measurements. While many methods of time resolution are already established using classical resources, they fail to combine high precision outcomes with large-scale implementations. Additionally, numerous quantum networking architectures using satellite-assisted methods have demonstrated quantum communication on scales exceeding ground-based methods. For these reasons, we propose the use of a time synchronization method by which pairs of highly time-correlated photons are exchanged between clocks on satellites and clocks on Earth, al- lowing users to reconstruct the time offsets between their clocks. This is known as Quantum Clock Synchronization (QCS). We analyze global time synchronization, via numerical simulation, using a network of satellites equipped with quantum resources, such as entangled photon sources (SPDC) and single photon detectors. We find that for satellites in low-earth orbits, a configuration of 50 evenly-space satellites provides constant visibility and sub-nanosecond time synchronization to any location on Earth. Due to practical constraints, clocks available for use on satellites are often of lesser quality than those available for ground use. However, by allowing the satellites in our network to synchronize among themselves, we overcome this limitation, forming a highly precise “master clock” capable of global, high precision time synchronization. We then examine the amount of quantum security provided by polarization-entangled photon sources as a potential way to protect an experimental implementation of QCS from attacks such as signal spoofing. To do this, we identify regions on Earth where Bell violations between exchanged entangled photons can ensure quantum security at various confidence vii levels. Combined with similar insights gained from determining the network scale of our QCS protocol at the single-link level, we demonstrate the potential for highly precise, global, and potentially quantum-secure clock synchronization. Finally, we modify our QCS protocol to support frequency, or tick-rate, offsets in addition to constant time offsets. We motivate this by presenting some relativistic effects that can introduce frequency differences between clocks in space and on Earth. Provided that relative velocities between clocks are corrected for, we identify constant and variable clock defects through numerical simulations.
A satellite-based scheme to perform clock synchronization between ground stations spread across the globe using quantum resources was proposed in [Phys. Rev. A 107, 022615 (2023).] based on a quantum clock synchronization (QCS) protocol. Such a scheme could achieve synchronization up to the picosecond level over distances of thousands of kilometers. Nonetheless, the implementation of this QCS protocol has yet to be demonstrated experimentally in situations where the satellite velocities cannot be neglected, as is the case in many realistic scenarios. In this work, we develop analytical and numerical tools to study the effect of the relative velocity between the satellite and ground stations on the success of the QCS protocol. We conclude that the protocol can still run successfully if the data-acquisition window is chosen appropriately. As a demonstration, we simulate the synchronization outcomes for cities across the continental United States using a single satellite in a low earth orbit, low-cost entanglement sources, portable atomic clocks, and avalanche detectors. We conclude that, after including the effect of relative motion, subnanosecond- to picosecond-level precision can still be achieved over distance scales of $\ensuremath{\approx}4000$ km. Such high-precision synchronization is currently not achievable over long distances ($\ensuremath{\gtrsim}100\phantom{\rule{4.pt}{0ex}}\text{km}$) with standard classical techniques including the GPS. The simulation tools developed in this work are in principle applicable to other means of synchronizing clocks using entangled photons, which are expected to form the basis of future quantum networks like the quantum internet, distributed quantum sensing, and the quantum GPS.
This article develops a protocol to synchronize clocks on board a network of satellites equipped with quantum resources. We show that, in such a constellation, satellites reinforce each other's sync capabilities, forming a common clock that is more stable and precise than its constituents. We envision the resulting network as a master clock able to distribute time across the globe, providing the basis for a future quantum global navigation satellite system or a space-based quantum network. As an example of its capabilities, we show that a constellation of 50 satellites equipped with modest quantum resources, and distributed amongst 5 orbits at an altitude of 500 km, allows the synchronization of clocks spread across the globe at sub-nanosecond precision.
The Global Positioning System (GPS) provides uninterrupted position and timing data across the globe with a precision of up to 40 ns, but is insufficient for advanced applications such as quantum communication, and is susceptible to jamming and spoofing attacks. This article introduces a protocol for synchronizing clocks using a constellation of satellites that relies on the exchange of entangled photons. Simulation shows that 50 low-Earth-orbit satellites bearing off-the-shelf atomic clocks can distribute time globally with a precision that is 2 to 4 orders of magnitude higher than that of GPS. Additionally, the use of entangled photons provides an extra layer of quantum security.