We derive a testable consequence of the hypothesis that quantum decoherence is subject to a global compression bound. Starting from the bounded compression condition, we show that simultaneous decoherence across multiple channels of a quantum system must satisfy a trade-off relation: the weighted sum of individual decoherence rates is bounded by a maximum determined by the system's energy scale and the quantum channel capacity of the system-environment coupling. We derive this bound from two independent physical principles: the finite quantum channel capacity of the environment as an information sink, and the thermodynamic cost of irreversible decoherence via the Landauer principle. For multi-qubit systems, we predict that the decoherence rate of maximally entangled (GHZ) states saturates for sufficiently large qubit number N, deviating from the linear scaling predicted by standard Lindblad theory. We identify the transition regime between weak and strong system-environment coupling as the natural domain where the bound becomes experimentally accessible, and propose concrete protocols using superconducting qubits, trapped ions, and mesoscopic systems. The predictions are falsifiable and independent of any specific interpretive framework for quantum mechanics.
We derive a testable consequence of the hypothesis that quantum decoherence is subject to a global compression bound. Starting from the bounded compression condition, we show that simultaneous decoherence across multiple channels of a quantum system must satisfy a trade-off relation: the weighted sum of individual decoherence rates is bounded by a maximum determined by the system's energy scale and the quantum channel capacity of the system-environment coupling. We derive this bound from two independent physical principles: the finite quantum channel capacity of the environment as an information sink, and the thermodynamic cost of irreversible decoherence via the Landauer principle. For multi-qubit systems, we predict that the decoherence rate of maximally entangled (GHZ) states saturates for sufficiently large qubit number N, deviating from the linear scaling predicted by standard Lindblad theory. We identify the transition regime between weak and strong system-environment coupling as the natural domain where the bound becomes experimentally accessible, and propose concrete protocols using superconducting qubits, trapped ions, and mesoscopic systems. The predictions are falsifiable and independent of any specific interpretive framework for quantum mechanics.
We derive testable consequences of the hypothesis that quantum decoherence is subject to a global compression bound. Starting from the bounded compression condition, we show that simultaneous decoherence across multiple channels of a quantum system must satisfy a trade-off relation. We formulate this bound in terms of three representation-invariant measures—the purity loss rate, the dissipative entropy production rate, and the Kossakowski eigenvalue sum—ensuring that all predictions are independent of the non-unique Lindblad decomposition. We derive the bound from two independent physical principles: the finite quantum channel capacity of the environment as an information sink, and the thermodynamic cost of irreversible decoherence via the Landauer principle. For multi-qubit systems, we predict that the decoherence rate of maximally entangled (GHZ) states saturates for sufficiently large qubit number N, deviating from the linear scaling predicted by standard Lindblad theory. We identify the transition regime between weak and strong system–environment coupling as the natural domain where the bound becomes experimentally accessible, and propose concrete protocols using superconducting qubits, trapped ions, and mesoscopic systems. The predictions are falsifiable and independent of any specific interpretive framework for quantum mechanics.
Preprint: This paper derives quantitative bounds on measurement windows for finite-capacity observers extracting information from decohering quantum systems, extending standard decoherence theory to realistic experimental constraints. Main Result: For Gaussian-Markovian decoherence with exponential information decay I(t) = I₀ exp(-2Γt), bounded-capacity observers lose access to system distinctions when mutual information drops below detection threshold ε, yielding measurement window: τ_c = (1/2Γ) log(α C_A / ε) where Γ is decoherence rate [s⁻¹], C_A is observer capacity [bits] defined via Shannon formula (bandwidth × log₂(SNR) × integration time), ε is detection threshold [bits], and α ~ 0.1-1 is a model-dependent constant from spectral decomposition of environmental information. This establishes logarithmic capacity-scaling: doubling detector quality extends measurement windows by only ~0.35/Γ seconds, implying diminishing returns from capacity improvements. Experimental Predictions: For state-of-the-art circuit QED (superconducting transmon qubits, T₁ = 100 μs, bandwidth Δf = 10 MHz, SNR = 10), the framework predicts τ_c ~ 4-10 μs. Varying bandwidth from 1-30 MHz (capacity C_A ∈ [3, 90] bits) produces measurable Δτ_c ≈ 1.7 μs variation (5-10% of coherence time). Five experimental tests discriminate capacity-scaling from standard decoherence: ∙ Tests 1-3: Verify logarithmic capacity-scaling, inverse rate-dependence, threshold-dependence ∙ Test 4: Multi-observer non-redundancy (at most one narrowband detector succeeds) ∙ Test 5: Capacity-dependent redundancy buildup (primary discriminating signature) Key Contributions: ∙ First quantitative analysis of Zurek's pre-objective phase under explicit finite-resource constraints ∙ Capacity-scaling law connecting Shannon information theory to quantum measurement dynamics ∙ Operational definitions ensuring falsifiability (capacity, threshold, mutual information defined via measurement protocols) ∙ Concrete numerical predictions for three platforms (circuit QED, spin qubits, optomechanics) with resource estimates ∙ Design principle: environmental shielding (linear benefit in τ_c) outperforms detector improvement (logarithmic benefit) when both options available Technical Approach: The bound follows from threshold-crossing analysis of exponential decay with capacity-limited initial information I₀ = α C_A, justified via spectral decomposition of environmental information under flat-spectrum approximation for narrowband observation. All parameters (Γ, C_A, ε) are operationally defined and independently measurable, avoiding circularity. Extensions to non-Markovian dynamics (memory kernels), scrambling systems (black holes, many-body chaos), and non-Gaussian noise (Lévy flights, 1/f noise) are discussed with conjectured scaling laws. Scope: The bound applies specifically to Gaussian-Markovian systems (harmonic oscillators, qubits in dispersive limit, weak continuous measurement with memoryless baths). Circuit QED provides optimal testbed due to tunable Purcell filters (bandwidth control), high coherence times (T₁ > 300 μs achieved), and multiplexed readout infrastructure (5+ independent detectors demonstrated). Validity requires α C_A > ε (initial information exceeds threshold); domain violations occur when capacity too small, threshold too high, or coupling too weak. Relation to Prior Work: Zurek's Quantum Darwinism (2003-2009) explains asymptotic objectivity emergence through environmental redundancy but assumes unbounded observers (C_A → ∞, t → ∞). This work analyzes the complementary finite-resource regime (C_A < ∞, t ~ τ_c), providing first capacity-parameterized bound on pre-objective phase duration. Framework is interpretation-neutral—compatible with Copenhagen, Many-Worlds, Bohmian mechanics, and relational quantum mechanics. Philosophical implications (process ontology, observer-dependent reality, impermanence) are explored but clearly separated from testable predictions. Methods: Open quantum systems theory, Shannon information theory, operational quantum measurement, circuit QED experimental physics, numerical prediction for realistic parameters. Content: Complete 90-page manuscript with axiomatic framework (§2), narrowband observation model (§3), main theorem with proof (§4), numerical predictions (§5), five experimental falsification tests (§6), detailed Quantum Darwinism comparison (§7), extensions and limitations (§8), interpretive options (§9), and honest assessment (§10). Includes 77 references and operational definitions for all information-theoretic quantities. Target Audience: Quantum foundations researchers, experimental quantum physicists (circuit QED, trapped ions, quantum dots), quantum information theorists, philosophers of physics interested in measurement and objectivity.
The quantum measurement problem the tension between unitary Schrödinger evolution and the projection postulate has been with us since the early days of quantum theory. Here we derive a lower bound on the time required for any quantum measurement, treating the measurement as quantum channel discrimination carried out by the environment. The resulting bound, \tau_{\mathcal{M}} \ge \frac{\ln N}{2\pi\gamma}, relates the measurement time \tau_{\mathcal{M}} to the number of distinguishable outcomes N and the system-environment coupling strength \gamma. It follows from combining a finite channel-capacity limit on information transfer with the thermodynamic cost of erasing information, as set by Landauer's principle. The bound explains why measurements look instantaneous at macroscopic scales while still being bounded away from zero, gives a timescale for the onset of classical objectivity under quantum Darwinism, and yields concrete, testable predictions for weak-measurement experiments in cavity quantum electrodynamics and superconducting circuits.
This repository presents a theoretical and experimental proposal for a non-conservative source of quantum decoherence linked to irreversible logical erasure in a physically coupled classical system. The work introduces a minimal model in which a quantum system is weakly coupled to a classical predictor performing real-time inference. When the predictor irreversibly erases internal counterfactual states, the model predicts an additional decoherence channel that scales with the rate of logical erasure, independently of energy dissipation or measurement strength. The manuscript derives the expected scaling, defines strict null tests excluding standard decoherence mechanisms, and outlines a concrete experimental protocol designed to be decisively falsifiable. No experimental data are included. This deposit establishes theoretical priority and experimental criteria for testing the proposed effect.
This project develops a testable framework for detecting whether open-system quantum evolution could exhibit small, load-dependent deviations when multiple quantum platforms are simultaneously running high-complexity workloads. The framework is based on a simple question: If global computational capacity is finite, could extreme aggregate experimental load produce measurable, synchronized shifts in decoherence behavior across laboratories? The model introduces a resource-bound extension of standard Lindblad dynamics, defines an operational complexity measure tailored to experimental workloads, and anchors the global resource limit R_{\max} using a holographically-motivated bound. A synchronized, multi-laboratory protocol is proposed to detect potential load-dependent effects. All limitations, assumptions, and scaling considerations are documented transparently in the manuscript. This is an exploratory, falsifiable proposal — not a claimed discovery — and all materials are openly available.
Starting from the thermodynamic limit of information recording, this paper derives a complete, universal decoherence formula consisting of three linked equations: 1. A **non-zero lower bound on the decoherence time** of a quantum system: `τ_min = (ℏ / k_B T) · (1 / ln N_eff)`, where `N_eff` is the number of effective environmental degrees of freedom participating in the irreversible recording of the system's information. 2. A **quantitative criterion for the macroscopic–microscopic boundary**: `N_eff^(c) = exp( ℏ / (k_B T · T_sys) )`, where `T_sys` is the characteristic evolution time of the system. When `N_eff > N_eff^(c)`, decoherence completes before a single coherent evolution, and classical behavior emerges. 3. A **thermodynamic lower bound on interference fringe visibility**: `V ≥ exp( − ln N_eff / ln N_eff^(c) )`, derived from the first two equations without additional assumptions. The first equation predicts a *saturation effect*: the decoherence time no longer shortens indefinitely as environmental coupling increases. The second shows that for nearly all laboratory-accessible systems, `N_eff^(c) ≈ 1`, meaning any non-zero environmental coupling suffices to trigger the transition—explaining why macroscopic objects are inevitably classical. The third provides a directly measurable observable for the continuous quantum–classical phase transition. The framework is universal, applies to any quantum system in contact with an environment at temperature `T`, and its three core predictions are independently falsifiable. Based on the boundary criterion, wave–particle duality in double-slit experiments is reinterpreted as a special case of this phase transition occurring under the limiting condition `N_eff^(c) ≈ 1`. Three experimental schemes—a decoherence-saturation ratio test, a temperature-dependence test of the boundary criterion, and a direct observation of the continuous wave–particle transition via ultrafast electron diffraction or circuit QED—are proposed, all feasible on existing quantum information platforms without requiring new equipment.