From c72e3df04cffc4d2807f4316b8eca58cf880f0bc Mon Sep 17 00:00:00 2001 From: jaseg Date: Fri, 30 Aug 2024 17:46:01 +0200 Subject: [PATCH] QKD: Update figures --- chapter-qkd/chapter.tex | 103 +++- .../figures/gear_plan_1.svg.latex_meta | 4 +- .../figures/gear_plan_2.svg.latex_meta | 4 +- .../figures/gear_plan_3.svg.latex_meta | 4 +- chapter-qkd/figures/helix_transition.png | Bin 0 -> 99873 bytes .../figures/helix_transition.png.latex_meta | 6 + chapter-qkd/figures/ihsm-secondary-mesh | 2 +- .../figures/mesh_ring_bearing_tolerance.pdf | Bin 0 -> 8962 bytes .../figures/mesh_ring_bearing_tolerance.svg | 583 ++++++++++++++++++ chapter-qkd/figures/mesh_ring_reduction.pdf | Bin 1688 -> 10787 bytes chapter-qkd/figures/mesh_ring_reduction.svg | 392 +++++++++++- .../figures/render_exp_1.png.latex_meta | 4 +- .../figures/render_exp_2.png.latex_meta | 4 +- .../figures/render_side_1.png.latex_meta | 4 +- .../figures/render_side_2.png.latex_meta | 4 +- .../figures/scaled-helix_transition.png | Bin 0 -> 122857 bytes .../figures/schema_wire.svg.latex_meta | 4 +- main.bib | 82 +++ 18 files changed, 1140 insertions(+), 60 deletions(-) create mode 100644 chapter-qkd/figures/helix_transition.png create mode 100644 chapter-qkd/figures/helix_transition.png.latex_meta create mode 100644 chapter-qkd/figures/mesh_ring_bearing_tolerance.pdf create mode 100644 chapter-qkd/figures/mesh_ring_bearing_tolerance.svg create mode 100644 chapter-qkd/figures/scaled-helix_transition.png diff --git a/chapter-qkd/chapter.tex b/chapter-qkd/chapter.tex index d14c62e..1ef880a 100644 --- a/chapter-qkd/chapter.tex +++ b/chapter-qkd/chapter.tex @@ -382,7 +382,7 @@ computational security based on the computational hardness assumption underlying QKD is attractive in that it gives practically useful security guarantees without relying on any computational hardness assumptions. This way, QKD would remain secure even in a scenario where a hybrid deployment of a classically secure but mature algorithm paired with a quantum secure but young algorithm as discussed in Section -\label{qc-practical-implications} poses too much of a risk---a scenario where both large quantum computers arrive and a +\ref{qc-practical-implications} poses too much of a risk---a scenario where both large quantum computers arrive and a flaw in the quantum secure algorithm is found. Note that here, because we assume we have large quantum computers, the possibility of a flaw in the quantum secure algorithm extends beyond mathematical flaws leading to practical attacks with classical computers, and includes novel quantum algorithms. @@ -631,14 +631,16 @@ these mitigations provide is much below that of the rest of the mesh. Thus, a be Previously, in Chapter \todoplaceholder{provide link to mesh protection overview from OG IHSM paper} we have alluded to several \emph{shielding} methods that use a second, independently rotating mesh on the inside of the primary mesh, -located right next to the primary mesh's axis opening. In this section, we will go into some more detail on three -variations of this solution. In order of increasing complexity, these variations are a simple disc cover, offset -labyrinth meshes, and interlocking gear meshes. We will demonstrate a functional prototype of the simple disc cover, -present a design and mechanical prototypes of the offset labyrinth meshes, and provide details on the design of a -interlocking gear mesh. +located right next to the primary mesh's axis opening. In this section, we will go into some more detail on four +variations of this solution. In order of increasing complexity, these variations are a simple disc cover, coaxial +labyrinth meshes, offset labyrinth meshes, and interlocking gear meshes. We will demonstrate a functional prototype of +the simple disc cover, present a design and mechanical prototypes of the offset labyrinth meshes, and provide details on +the design of a interlocking gear mesh. \subsection{Simple disc cover} +\todo{Update these graphics with final color scheme, and update caption text here} + \begin{figure}[h!] \centering \includegraphics[width=\textwidth,page=1]{shaft_countermeasures_b.pdf} @@ -646,27 +648,42 @@ interlocking gear mesh. outer mesh is shown in red, and the inner mesh in blue. The dashed line indicates the two meshes' shared axis of rotation. The gray areas indicate the shape of the volume that remains undisturbed by the mesh, and that is available for structural support and cable routing.} + \label{qkd_fig_disc_mesh} \end{figure} -\todo{Update these graphics with final color scheme, and update caption text here} In Chapter \todoplaceholder{Provide link to single-board IHSM chapter here}, we have shown how an IHSM that has been shrunk to a single, disc-shaped PCB is still useful because we can delegate key management functionality to the mesh -monitoring circuit's microcontroller or a separate processor sitting next to it on the rotating mesh PCB, yielding a +monitoring circuit's microcontroller---or a separate processor sitting next to it---on the rotating mesh PCB, yielding a solution close in both its cryptographic capabilities and its security level to commercial traditional HSMs, and exceeding those of a smartcard. In the following paragraphs, we will show how we can deploy the same single-board IHSM (SB-IHSM) as a mitigation for through-axis attacks, exploiting its mechanical shape and its simple, low-cost implementation. -By placing an adapted single-board IHSM close to the primary mesh's axis opening, an attacker is forced to either first -circumvent the single-board IHSM through the primary mesh's axis opening, then remove enough of it to gain direct access -ot the payload behind it, or to conduct their attack through the keyhole-sized opening in the primary mesh while bending -their tool by approximately \qty{90}{\degree} at least twice, once to avoid the SB-IHSM mesh, and once more to re-orient -the tool towards the payload. The distance between the inside of the primary mesh and the SB-IHSM is limited by the -tolerance in mechanical alignment between the two axes of rotation, by the space necessary for a sufficiently stable -mount of the payload cage to the hollow shaft, and by the minimum bend radius of the power and data wiring that needs to -pass through the shaft. In QKD applications, the fibers' minimum bend radius is the largest contributor with a minimum -distance of \qty{10}{\milli\meter} that corresponds to the minimum bend radius specification that is common in telecom -fiber optics.\todo{cite bend radius spec} +By placing an adapted single-board IHSM close to the primary mesh's axis opening as shown in Figure\ +\ref{qkd_fig_disc_mesh}, an attacker is forced to either first circumvent the single-board IHSM through the primary +mesh's axis opening, then remove enough of it to gain direct access ot the payload behind it, or to conduct their attack +through the keyhole-sized opening in the primary mesh while bending their tool by approximately \qty{90}{\degree} at +least twice, once to avoid the SB-IHSM mesh, and once more to re-orient the tool towards the payload. The distance +between the inside of the primary mesh and the SB-IHSM is limited by the tolerance in mechanical alignment between the +two axes of rotation, by the space necessary for a sufficiently stable mount of the payload cage to the hollow shaft, +and by the minimum bend radius of the power and data wiring that needs to pass through the shaft. In QKD applications, +the fibers' minimum bend radius is the largest contributing factor. Power and electrical data signals can be supplied +through flexible flat cables that can be bent in sharp corners without issue. Optical fibers on the other hand are +limited in their minimum bend radius, as their optical loss rises sharply with decreasing bend radius\footnote{Note that +the issue here is not that the glass core of the fiber would degrade or break, as one might intuitively assume. Being +only a few dozen micrometers in diameter, an optical fiber's core is remarkably flexible. Instead, the issue is that +both multimode as well as singlemode fibers are optical waveguides. Bending them distorts the electromagnetic field +inside the waveguide, and allows some small portion of it to escape from the fiber's core, leading to loss in the form +of both attenuation and dispersion.}. With QKD being especially sensitive to even small amounts of loss, care has to be +taken to maximize the bend radius of the fiber optic connections. A common specification of minimum bend radius in +telecom singlemode fibers taking into account not just optical loss but also the mechanical stability of the fiber's +polymer coating is $10\times$ the coated fiber's diameter, which equates to \qty{9}{\milli\meter} for +common \qty{0.9}{\milli\meter} fiber pigtails. + +\todo{cite bend radius spec. fs.com has some on their pigtails. thorlabs on their SM-28 fiber has no spec, but specs +loss at \qty{25}{\milli\meter} radius.} + +While \todoplaceholder{Finish this part.} @@ -688,7 +705,7 @@ inside. Structural support and cables can easily pass this structure in a series inserting a probe avoiding both meshes would not be feasible as the probe would have to perform a series of sharp bends. -\begin{figure}[h!] +\begin{figure} \centering \includegraphics[width=.7\textwidth]{\scaledgraphics{wikimedia_Four_Corners_Bank_Vault_cropped.jpg}} \caption[Photo of a bank vault door]{\camerareadygraphics Photo of a bank vault door at the Four Corners building in @@ -702,20 +719,48 @@ bends. \end{figure} Designing this type of labyrinth mesh is similar to the design of the shape of the jamb of a safe door such as the one -shown in Figure\ \ref{qkd_fig_vault_door}, or of a high-end European-style apartment door. In these, the objective is to -prevent would-be burglars from inserting opening tools through the space between the closed door and its jamb and -attacking the door's interior handle or locking mechanism, not unlike an IHSM's defense against electrical or -electromagnetic probes. The one difference between these doors and what we can do in IHSMs is that these doors are -limited to outwards-facing steps because they must be opened and closed. In IHSM labyrinth meshes, we can use both -outwards-facing and inwards-facing steps. +shown in Figure\ \ref{qkd_fig_vault_door}, or of a high end apartment door. In these, the objective is to prevent +would-be burglars from inserting opening tools through the space between the closed door and its jamb and attacking the +door's interior handle or locking mechanism, not unlike an IHSM's defense against electrical or electromagnetic probes. +The one difference between these doors and what we can do in IHSMs is that these doors are limited to outwards-facing +steps because they must be opened and closed. In IHSM labyrinth meshes, we can use both outwards-facing and +inwards-facing steps. Concentric labyrinth meshes allow for a wide range of different configurations. The pitch from one mesh tab to the next is the sum of the required width of the inter-mesh space and the safety margin needed betwween any cables or the -inter-mesh bracket and the tabs. This safety margin can be kept low for the primary mesh because this mesh has -high-quality bearings on both ends, leading to good axis alignment. In contrast, for the secondary mesh considerable +inter-mesh bracket and the tabs. When the mesh is constructed using rigid PCB tabs that are inserted as-is, without +bending them, and when all tabs have the same width and thickness, the radial width of the swept area decreases from tab +to tab going outwards as shown in Figure\ \ref{qkd_fig_mesh_ring_reduction}. A consequence of this is that when the +design target are constant width inter-mesh spaces, the tabs' pitch decreases going outwards. + +\begin{figure} + \centering + \includegraphics[width=\textwidth]{mesh_ring_reduction.pdf} + \caption[Coaxial labyrinth mesh tab swept area]{\draftgraphics Top-down view of a coaxial labyrinth mesh + with three tabs, with the area swept by each tab highlighted. When rigid, planar tabs of a single width $w$ are + used, the radial width of the swept areas decreases and approaches the tabs' thickness $t$ as their radius $r$ + increases. + } + \label{qkd_fig_mesh_ring_reduction} +\end{figure} + +The safety margin required to avoid collisions between the meshes and the stator\todo{stator is a nice word for the +entire non-rotating part of the assembly. stator/star bracket?} can be kept low for the primary mesh because this mesh +has high-quality bearings on both ends, leading to good axis alignment. In contrast, for the secondary mesh considerable margins have to be included if the mesh is driven by a cooling fan motor, as the bearings in such fans are not very -precise, leading to the chance of axis misalignment that causes several millimeter of deflection at the outer edge of -the mesh. +precise. With loose bearings, angular axis misalignment can lead to several millimeters of deflection in both the radial +and axial dimensions as illustrated in Figure\ \ref{qkd_fig_mesh_ring_bearing_tolerance}. + +\begin{figure} + \centering + \includegraphics[width=\textwidth]{mesh_ring_bearing_tolerance.pdf} + \caption[Coaxial labyrinth mesh axis alignment tolerance illustration]{\draftgraphics Illustration of the effect of + angular misalignment of the axis of rotation caused by tolerances in motor bearings in a coaxial labyrinth mesh with + two tabs. The area swept by each tab, and its increase due to misalignment are highlighted. The left illustration + shows the ideal and misaligned meshes, and the right illustration superimposes the area increase from the left + illustration on the ideally aligned mesh.} + \label{qkd_fig_mesh_ring_bearing_tolerance} +\end{figure} \subsection{Offset labyrinth meshes} diff --git a/chapter-qkd/figures/gear_plan_1.svg.latex_meta b/chapter-qkd/figures/gear_plan_1.svg.latex_meta index ba580c8..3c5a4c1 100644 --- a/chapter-qkd/figures/gear_plan_1.svg.latex_meta +++ b/chapter-qkd/figures/gear_plan_1.svg.latex_meta @@ -1,6 +1,6 @@ \def\resourcestate{\draftgraphics} \def\resourcescale{} -\def\resourceurl{https://git.jaseg.de/ihsm-secondary-mesh.git/plain/gear\_plan\_1.svg?h=3a7edbd1127cacc8f4c90376595b894105f3d479} -\def\resourcerev{3a7edbd} +\def\resourceurl{https://git.jaseg.de/ihsm-secondary-mesh.git/plain/gear\_plan\_1.svg?h=ecb75393966ba4475f31ebbe91e4afffd6928bdf} +\def\resourcerev{ecb7539} \def\resourcerepo{ihsm-secondary-mesh.git} \def\resourcepath{gear\_plan\_1.svg} \ No newline at end of file diff --git a/chapter-qkd/figures/gear_plan_2.svg.latex_meta b/chapter-qkd/figures/gear_plan_2.svg.latex_meta index 34f398c..fd6c10d 100644 --- a/chapter-qkd/figures/gear_plan_2.svg.latex_meta +++ b/chapter-qkd/figures/gear_plan_2.svg.latex_meta @@ -1,6 +1,6 @@ \def\resourcestate{\draftgraphics} \def\resourcescale{} -\def\resourceurl{https://git.jaseg.de/ihsm-secondary-mesh.git/plain/gear\_plan\_2.svg?h=3a7edbd1127cacc8f4c90376595b894105f3d479} -\def\resourcerev{3a7edbd} +\def\resourceurl{https://git.jaseg.de/ihsm-secondary-mesh.git/plain/gear\_plan\_2.svg?h=ecb75393966ba4475f31ebbe91e4afffd6928bdf} +\def\resourcerev{ecb7539} \def\resourcerepo{ihsm-secondary-mesh.git} \def\resourcepath{gear\_plan\_2.svg} \ No newline at end of file diff --git a/chapter-qkd/figures/gear_plan_3.svg.latex_meta b/chapter-qkd/figures/gear_plan_3.svg.latex_meta index 9d5e611..51d8ad3 100644 --- a/chapter-qkd/figures/gear_plan_3.svg.latex_meta +++ 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-\def\resourceurl{https://git.jaseg.de/ihsm-secondary-mesh.git/plain/render\_exp\_1.png?h=3a7edbd1127cacc8f4c90376595b894105f3d479} -\def\resourcerev{3a7edbd} +\def\resourceurl{https://git.jaseg.de/ihsm-secondary-mesh.git/plain/render\_exp\_1.png?h=ecb75393966ba4475f31ebbe91e4afffd6928bdf} +\def\resourcerev{ecb7539} \def\resourcerepo{ihsm-secondary-mesh.git} \def\resourcepath{render\_exp\_1.png} \ No newline at end of file diff --git a/chapter-qkd/figures/render_exp_2.png.latex_meta b/chapter-qkd/figures/render_exp_2.png.latex_meta index baa07ec..9c991d1 100644 --- a/chapter-qkd/figures/render_exp_2.png.latex_meta +++ b/chapter-qkd/figures/render_exp_2.png.latex_meta @@ -1,6 +1,6 @@ \def\resourcestate{\draftgraphics} \def\resourcescale{} -\def\resourceurl{https://git.jaseg.de/ihsm-secondary-mesh.git/plain/render\_exp\_2.png?h=3a7edbd1127cacc8f4c90376595b894105f3d479} -\def\resourcerev{3a7edbd} +\def\resourceurl{https://git.jaseg.de/ihsm-secondary-mesh.git/plain/render\_exp\_2.png?h=ecb75393966ba4475f31ebbe91e4afffd6928bdf} +\def\resourcerev{ecb7539} \def\resourcerepo{ihsm-secondary-mesh.git} \def\resourcepath{render\_exp\_2.png} \ No newline at end of file diff --git a/chapter-qkd/figures/render_side_1.png.latex_meta b/chapter-qkd/figures/render_side_1.png.latex_meta index e8f54a9..bac054c 100644 --- a/chapter-qkd/figures/render_side_1.png.latex_meta +++ b/chapter-qkd/figures/render_side_1.png.latex_meta @@ -1,6 +1,6 @@ \def\resourcestate{\draftgraphics} \def\resourcescale{} -\def\resourceurl{https://git.jaseg.de/ihsm-secondary-mesh.git/plain/render\_side\_1.png?h=3a7edbd1127cacc8f4c90376595b894105f3d479} -\def\resourcerev{3a7edbd} +\def\resourceurl{https://git.jaseg.de/ihsm-secondary-mesh.git/plain/render\_side\_1.png?h=ecb75393966ba4475f31ebbe91e4afffd6928bdf} +\def\resourcerev{ecb7539} \def\resourcerepo{ihsm-secondary-mesh.git} \def\resourcepath{render\_side\_1.png} \ No newline at end of file diff --git a/chapter-qkd/figures/render_side_2.png.latex_meta b/chapter-qkd/figures/render_side_2.png.latex_meta index 6ab80be..2e51db8 100644 --- a/chapter-qkd/figures/render_side_2.png.latex_meta +++ b/chapter-qkd/figures/render_side_2.png.latex_meta @@ -1,6 +1,6 @@ \def\resourcestate{\draftgraphics} \def\resourcescale{} -\def\resourceurl{https://git.jaseg.de/ihsm-secondary-mesh.git/plain/render\_side\_2.png?h=3a7edbd1127cacc8f4c90376595b894105f3d479} -\def\resourcerev{3a7edbd} +\def\resourceurl{https://git.jaseg.de/ihsm-secondary-mesh.git/plain/render\_side\_2.png?h=ecb75393966ba4475f31ebbe91e4afffd6928bdf} +\def\resourcerev{ecb7539} \def\resourcerepo{ihsm-secondary-mesh.git} \def\resourcepath{render\_side\_2.png} \ No newline at end of file diff --git a/chapter-qkd/figures/scaled-helix_transition.png b/chapter-qkd/figures/scaled-helix_transition.png new file mode 100644 index 0000000000000000000000000000000000000000..1518cb56013ae4775d646d5245d910f690aed6b8 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