Quantum Link Research
Link budget · flagship F3 · REQ-CAP-001

A trillion pairs a second leave Earth. How many reach Mars?

Every stage of the link multiplies the rate by a factor from a tested model: optics, the atmosphere, the spreading of the beam over hundreds of millions of kilometres, pointing jitter, detectors, memories, and the Sun getting in the way. Sunlight reflected by Earth competes with the signal at the Mars receiver, and every herald it causes stores noise. Then the pair must wait in a memory for Earth's two classical bits. The stream below is drawn from qll/systems/mars_budget.py, ported line by line to docs/js/budget_core.js and checked against it.

the stream · band height is the logarithm of the pair rate after each stage; red stages are where it dies

when · Earth–Mars range over two synodic periods, shaded where the Sun blocks the line of sight

day after J2000

architecture

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memory

hardware

transmit beam waist w₀
Mars receiver diameter
pointing jitter (per axis)

source and operations

pairs per second per mode
multiplexed modes
elementary pair fraction f₀

background light

filter bandwidth per mode
stray-light floor of the Mars receiver
transmitter offset from Earth

what the Mars receiver sees · Earth's phase, the transmitter, and the receiver's one mode

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what arrives

Earth–Mars range
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total loss after the source
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signal pairs per day
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heralds that are signal
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background per mode at the aperture
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storage until Earth's bits arrive
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teleportation fidelity after storage
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secret key (BBM92) per day
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the key bank · one synodic period of secret key, and the bank that lets the messenger spend it evenly

key made each day (log scale)daily demandbank level (right scale)days a messenger with no bank must refuse
daily demand
bank needed
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refused days with no bank
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one-time pad per day
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256-bit session keys per day
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the same link with each demonstrated memory

memorycoherenceretrievalpairs / dayfidelity after storageverdict

A memory is paid for twice here: its retrieval efficiency at both ends multiplies the rate, and its coherence time sets the fidelity after the wait. Assumptions (all adjustable in MarsLinkDesign): 1550 nm, transmit optics 0.8, receive optics 0.7, detectors 0.9, Earth elevation 40° and the Sun 12° below the horizon for a ground station, weather and operations duty 0.5, storage for one round trip, depolarizing memories, Earth's near-infrared albedo 0.3, airglow 10⁻⁷ W m⁻² sr⁻¹ nm⁻¹.